Solve the following equations for x: 1) x/4 = 3, 2) x/3 = 12, 3) x/7 + 2 = −5, 4) (x−6)/2 = −1

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the equations:

1)

Multiply both sides by 4 to isolate $x$ .
$\frac{x}{4} = 3$ $x = 3 \times 4$ $x = 12$
The solution is $\boxed{x=12}$ .

2)
Multiply both sides by 3 to isolate $x$ .
$\frac{x}{3} = 12$ $x = 12 \times 3$ $x = 36$
The solution is $\boxed{x=36}$ .

3)
Subtract 2 from both sides.
$\frac{x}{7} + 2 = -5$ $\frac{x}{7} = -5 - 2$ $\frac{x}{7} = -7$
Multiply both sides by 7 to isolate $x$ .
$x = -7 \times 7$ $x = -49$
The solution is $\boxed{x=-49}$ .

4)
Multiply both sides by 2.
$\frac{x-6}{2} = -1$ $x-6 = -1 \times 2$ $x-6 = -2$
Add 6 to both sides to isolate $x$ .
$x = -2 + 6$ $x = 4$
The solution is $\boxed{x=4}$ .

Solve the following equations for x: 1) x/4 = 3, 2) x/3 = 12, 3) x/7 + 2 = -5, 4) (x-6)/2 = -1