Solve for x in the following equations: a) x + 2 − 4 = 6, b) x + 7 + 2 − 3 = 9, c) x + 5 + (+8) = −5, d) x…

Question

Solve for x in the following equations: a) x + 2 − 4 = 6, b) x + 7 + 2 − 3 = 9, c) x + 5 + (+8) = −5, d) x − 8 + 3 = 7, e) x + 4 − 2 + 6 = −2, f) x + 11 − 7 + 9 = 7.

ScanSolve AI Tutor · Accepted Answer

Here are the solutions for x: a) Step 1: Combine the constant terms on the left side. x + 2 − 4 = 6; x − 2 = 6 Step 2: Add 2 to both sides to isolate x. x − 2 + 2 = 6 + 2; x = 8; The solution is x = 8. b) Step 1: Combine the constant terms on the left side. x + 7 + 2 − 3 = 9; x + 9 − 3 = 9; x + 6 = 9 Step 2: Subtract 6 from both sides to isolate x. x + 6 − 6 = 9 − 6; x = 3; The solution is x = 3. c) Step 1: Simplify the constant terms on the left side. x + 5 + (+8) = −5; x + 5 + 8 = −5; x + 13 = −5 Step 2: Subtract 13 from both sides to isolate x. x + 13 − 13 = −5 − 13; x = −18; The solution is x = −18. d) Step 1: Combine the constant terms on the left side. x − 8 + 3 = 7; x − 5 = 7 Step 2: Add 5 to both sides to isolate x. x − 5 + 5 = 7 + 5; x = 12; The solution is x = 12. e) Step 1: Combine the constant terms on the left side. x + 4 − 2 + 6 = −2; x + 2 + 6 = −2; x + 8 = −2 Step 2: Subtract 8 from both sides to isolate x. x + 8 − 8 = −2 − 8; x = −10; The solution is x = −10. f) Step 1: Combine the constant terms on the left side. x + 11 − 7 + 9 = 7; x + 4 + 9 = 7; x + 13 = 7 Step 2: Subtract 13 from both sides to isolate x. x + 13 − 13 = 7 − 13; x = −6; The solution is x = −6.

Solve for x in the following equations: a) x + 2 − 4 = 6, b) x + 7 + 2 − 3 = 9, c) x + 5 + (+8) = -5, d) x − 8 + 3 = 7, e) x + 4 - 2 + 6 = -2, f) x + 11 − 7 + 9 = 7.

Answers

Step-by-step solution

Part a· 2 steps

Combine the constant terms on the left side.

Add 2 to both sides to isolate $x$ .

Part b· 2 steps
$x = 3$

Combine the constant terms on the left side.

Subtract 6 from both sides to isolate $x$ .

Part c· 2 steps
$x = -18$

Simplify the constant terms on the left side.

Subtract 13 from both sides to isolate $x$ .

Part d· 2 steps
$x = 12$

Combine the constant terms on the left side.

Add 5 to both sides to isolate $x$ .

Part e· 2 steps
$x = -10$

Combine the constant terms on the left side.

Subtract 8 from both sides to isolate $x$ .

Part f· 2 steps
$x = -6$

Combine the constant terms on the left side.

Subtract 13 from both sides to isolate $x$ .

Try one yourself

Still stuck on this one?

More Mathematics Questions

Solve for x in the following equations: a) x + 2 − 4 = 6, b) x + 7 + 2 − 3 = 9, c) x + 5 + (+8) = -5, d) x − 8 + 3 = 7, e) x + 4 - 2 + 6 = -2, f) x + 11 − 7 + 9 = 7.

Answers

Step-by-step solution

Part a· 2 steps

Combine the constant terms on the left side.

Add 2 to both sides to isolate xxx.

Part b· 2 stepsx=3x = 3x=3

Combine the constant terms on the left side.

Subtract 6 from both sides to isolate xxx.

Part c· 2 stepsx=−18x = -18x=−18

Simplify the constant terms on the left side.

Subtract 13 from both sides to isolate xxx.

Part d· 2 stepsx=12x = 12x=12

Combine the constant terms on the left side.

Add 5 to both sides to isolate xxx.

Part e· 2 stepsx=−10x = -10x=−10

Combine the constant terms on the left side.

Subtract 8 from both sides to isolate xxx.

Part f· 2 stepsx=−6x = -6x=−6

Combine the constant terms on the left side.

Subtract 13 from both sides to isolate xxx.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Add 2 to both sides to isolate $x$ .

Part b· 2 steps
$x = 3$

Subtract 6 from both sides to isolate $x$ .

Part c· 2 steps
$x = -18$

Subtract 13 from both sides to isolate $x$ .

Part d· 2 steps
$x = 12$

Add 5 to both sides to isolate $x$ .

Part e· 2 steps
$x = -10$

Subtract 8 from both sides to isolate $x$ .

Part f· 2 steps
$x = -6$

Subtract 13 from both sides to isolate $x$ .