Solve for x 8x-15x-30x-51x=53x+31x-172

$8 x - 15 x - 30 x - 51 x = 53 x + 31 x - 172$

Simplify $8 x - 15 x - 30 x - 51 x$ .

Subtract $15 x$ from $8 x$ .

$- 7 x - 30 x - 51 x = 53 x + 31 x - 172$

Subtract $30 x$ from $- 7 x$ .

$- 37 x - 51 x = 53 x + 31 x - 172$

Subtract $51 x$ from $- 37 x$ .

$- 88 x = 53 x + 31 x - 172$

Add $53 x$ and $31 x$ .

$- 88 x = 84 x - 172$

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

Subtract $84 x$ from both sides of the equation.

$- 88 x - 84 x = - 172$

Subtract $84 x$ from $- 88 x$ .

$- 172 x = - 172$

Divide each term in $- 172 x = - 172$ by $- 172$ and simplify.

Divide each term in $- 172 x = - 172$ by $- 172$ .

$\frac{- 172 x}{- 172} = \frac{- 172}{- 172}$

Simplify the left side.

Cancel the common factor of $- 172$ .

Cancel the common factor.

$\frac{- 172 x}{- 172} = \frac{- 172}{- 172}$

Divide $x$ by $1$ .

$x = \frac{- 172}{- 172}$

Simplify the right side.

Divide $- 172$ by $- 172$ .

$x = 1$