Solve for x 5x+4x-68=34-8x

$5 x + 4 x - 68 = 34 - 8 x$

Add $5 x$ and $4 x$ .

$9 x - 68 = 34 - 8 x$

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

Add $8 x$ to both sides of the equation.

$9 x - 68 + 8 x = 34$

Add $9 x$ and $8 x$ .

$17 x - 68 = 34$

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

Add $68$ to both sides of the equation.

$17 x = 34 + 68$

Add $34$ and $68$ .

$17 x = 102$

Divide each term in $17 x = 102$ by $17$ and simplify.

Divide each term in $17 x = 102$ by $17$ .

$\frac{17 x}{17} = \frac{102}{17}$

Simplify the left side.

Cancel the common factor of $17$ .

Cancel the common factor.

$\frac{17 x}{17} = \frac{102}{17}$

Divide $x$ by $1$ .

$x = \frac{102}{17}$

Simplify the right side.

Divide $102$ by $17$ .

$x = 6$