Solve for x 1/4x-7=2

$\frac{1}{4} x - 7 = 2$

Step 1

Combine $\frac{1}{4}$ and $x$ .

$\frac{x}{4} - 7 = 2$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Add $7$ to both sides of the equation.

$\frac{x}{4} = 2 + 7$

Add $2$ and $7$ .

$\frac{x}{4} = 9$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{x}{4} = 4 \cdot 9$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{x}{4} = 4 \cdot 9$

Rewrite the expression.

$x = 4 \cdot 9$

Simplify the right side.

Multiply $4$ by $9$ .

$x = 36$