Solve the following equations for x: a) 3(6+7x)+2(1−5x)=42 b) 2(x+3)−3(x−1)=12

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a) Step 1: Distribute the numbers outside the parentheses. 3(6) + 3(7x) + 2(1) + 2(−5x) = 42; 18 + 21x + 2 − 10x = 42 Step 2: Combine like terms. (21x − 10x) + (18 + 2) = 42; 11x + 20 = 42 Step 3: Subtract 20 from both sides to isolate the term with x. 11x = 42 − 20; 11x = 22 Step 4: Divide by 11 to solve for x. x = 22/11; x = 2 b) Step 1: Distribute the numbers outside the parentheses. Remember to distribute the −3 to both terms inside the second parenthesis. 2(x) + 2(3) − 3(x) − 3(−1) = 12; 2x + 6 − 3x + 3 = 12 Step 2: Combine like terms. (2x − 3x) + (6 + 3) = 12; −x + 9 = 12 Step 3: Subtract 9 from both sides to isolate the term with x. −x = 12 − 9; −x = 3 Step 4: Multiply both sides by −1 to solve for x. x = −3

Solve the following equations for x: a) 3(6+7x)+2(1−5x)=42 b) 2(x+3)−3(x−1)=12

Answers

Step-by-step solution

Part a· 4 steps

Distribute the numbers outside the parentheses.

Combine like terms.

Subtract 20 from both sides to isolate the term with $x$ .

Divide by 11 to solve for $x$ .

Part b· 4 steps-3

Distribute the numbers outside the parentheses.

Combine like terms.

Subtract 9 from both sides to isolate the term with $x$ .

Multiply both sides by $-1$ to solve for $x$ .

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More Mathematics Questions

Solve the following equations for x: a) 3(6+7x)+2(1−5x)=42 b) 2(x+3)−3(x−1)=12

Answers

Step-by-step solution

Part a· 4 steps

Distribute the numbers outside the parentheses.

Combine like terms.

Subtract 20 from both sides to isolate the term with xxx.

Divide by 11 to solve for xxx.

Part b· 4 steps-3

Distribute the numbers outside the parentheses.

Combine like terms.

Subtract 9 from both sides to isolate the term with xxx.

Multiply both sides by −1-1−1 to solve for xxx.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Subtract 20 from both sides to isolate the term with $x$ .

Divide by 11 to solve for $x$ .

Subtract 9 from both sides to isolate the term with $x$ .

Multiply both sides by $-1$ to solve for $x$ .