Solve for x 18x+45=12x-8

$18 x + 45 = 12 x - 8$

Step 1

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

Subtract $12 x$ from both sides of the equation.

$18 x + 45 - 12 x = - 8$

Subtract $12 x$ from $18 x$ .

$6 x + 45 = - 8$

Step 2

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

Subtract $45$ from both sides of the equation.

$6 x = - 8 - 45$

Subtract $45$ from $- 8$ .

$6 x = - 53$

Step 3

Divide each term in $6 x = - 53$ by $6$ and simplify.

Divide each term in $6 x = - 53$ by $6$ .

$\frac{6 x}{6} = \frac{- 53}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 53}{6}$

Divide $x$ by $1$ .

$x = \frac{- 53}{6}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{53}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{53}{6}$

Decimal Form:

$x = - 8.8\overline{3}$

Mixed Number Form:

$x = - 8 \frac{5}{6}$