Solve for x 3x+101-4x-33=108-16x-100

$3 x + 101 - 4 x - 33 = 108 - 16 x - 100$

Step 1

Simplify $3 x + 101 - 4 x - 33$ .

Subtract $4 x$ from $3 x$ .

$- x + 101 - 33 = 108 - 16 x - 100$

Subtract $33$ from $101$ .

$- x + 68 = 108 - 16 x - 100$

Step 2

Subtract $100$ from $108$ .

$- x + 68 = - 16 x + 8$

Step 3

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

Add $16 x$ to both sides of the equation.

$- x + 68 + 16 x = 8$

Add $- x$ and $16 x$ .

$15 x + 68 = 8$

Step 4

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

Subtract $68$ from both sides of the equation.

$15 x = 8 - 68$

Subtract $68$ from $8$ .

$15 x = - 60$

Step 5

Divide each term in $15 x = - 60$ by $15$ and simplify.

Divide each term in $15 x = - 60$ by $15$ .

$\frac{15 x}{15} = \frac{- 60}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{- 60}{15}$

Divide $x$ by $1$ .

$x = \frac{- 60}{15}$

Simplify the right side.

Divide $- 60$ by $15$ .

$x = - 4$