Solve for x 5x+6x-16=3x+2x-4

$5 x + 6 x - 16 = 3 x + 2 x - 4$

Add $5 x$ and $6 x$ .

$11 x - 16 = 3 x + 2 x - 4$

Add $3 x$ and $2 x$ .

$11 x - 16 = 5 x - 4$

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

Subtract $5 x$ from both sides of the equation.

$11 x - 16 - 5 x = - 4$

Subtract $5 x$ from $11 x$ .

$6 x - 16 = - 4$

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

Add $16$ to both sides of the equation.

$6 x = - 4 + 16$

Add $- 4$ and $16$ .

$6 x = 12$

Divide each term in $6 x = 12$ by $6$ and simplify.

Divide each term in $6 x = 12$ by $6$ .

$\frac{6 x}{6} = \frac{12}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{12}{6}$

Divide $x$ by $1$ .

$x = \frac{12}{6}$

Simplify the right side.

Divide $12$ by $6$ .

$x = 2$