Solve for x -3+7x-9+8x=54

$- 3 + 7 x - 9 + 8 x = 54$

Step 1

Simplify $- 3 + 7 x - 9 + 8 x$ .

Subtract $9$ from $- 3$ .

$7 x - 12 + 8 x = 54$

Add $7 x$ and $8 x$ .

$15 x - 12 = 54$

Step 2

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

Add $12$ to both sides of the equation.

$15 x = 54 + 12$

Add $54$ and $12$ .

$15 x = 66$

Step 3

Divide each term in $15 x = 66$ by $15$ and simplify.

Divide each term in $15 x = 66$ by $15$ .

$\frac{15 x}{15} = \frac{66}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{66}{15}$

Divide $x$ by $1$ .

$x = \frac{66}{15}$

Simplify the right side.

Cancel the common factor of $66$ and $15$ .

Factor $3$ out of $66$ .

$x = \frac{3 (22)}{15}$

Cancel the common factors.

Factor $3$ out of $15$ .

$x = \frac{3 \cdot 22}{3 \cdot 5}$

Cancel the common factor.

$x = \frac{3 \cdot 22}{3 \cdot 5}$

Rewrite the expression.

$x = \frac{22}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{22}{5}$

Decimal Form:

$x = 4.4$

Mixed Number Form:

$x = 4 \frac{2}{5}$