Solve for x 18=6(2x-8)

$18 = 6 (2 x - 8)$

Step 1

Rewrite the equation as $6 (2 x - 8) = 18$ .

$6 (2 x - 8) = 18$

Step 2

Divide each term in $6 (2 x - 8) = 18$ by $6$ and simplify.

Divide each term in $6 (2 x - 8) = 18$ by $6$ .

$\frac{6 (2 x - 8)}{6} = \frac{18}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 (2 x - 8)}{6} = \frac{18}{6}$

Divide $2 x - 8$ by $1$ .

$2 x - 8 = \frac{18}{6}$

Simplify the right side.

Divide $18$ by $6$ .

$2 x - 8 = 3$

Step 3

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

Add $8$ to both sides of the equation.

$2 x = 3 + 8$

Add $3$ and $8$ .

$2 x = 11$

Step 4

Divide each term in $2 x = 11$ by $2$ and simplify.

Divide each term in $2 x = 11$ by $2$ .

$\frac{2 x}{2} = \frac{11}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{11}{2}$

Divide $x$ by $1$ .

$x = \frac{11}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{11}{2}$

Decimal Form:

$x = 5.5$

Mixed Number Form:

$x = 5 \frac{1}{2}$