Solve for x x=17-4(x-2)

$x = 17 - 4 (x - 2)$

Step 1

Simplify $17 - 4 (x - 2)$ .

Simplify each term.

Apply the distributive property.

$x = 17 - 4 x - 4 \cdot - 2$

Multiply $- 4$ by $- 2$ .

$x = 17 - 4 x + 8$

Add $17$ and $8$ .

$x = - 4 x + 25$

Step 2

Move all terms containing $x$ to the left side of the equation.

Add $4 x$ to both sides of the equation.

$x + 4 x = 25$

Add $x$ and $4 x$ .

$5 x = 25$

Step 3

Divide each term in $5 x = 25$ by $5$ and simplify.

Divide each term in $5 x = 25$ by $5$ .

$\frac{5 x}{5} = \frac{25}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{25}{5}$

Divide $x$ by $1$ .

$x = \frac{25}{5}$

Simplify the right side.

Divide $25$ by $5$ .

$x = 5$