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

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

Solve for x

$$x = -\frac{20}{3} = -6\frac{2}{3} \approx -6.666666667$$

Steps for Solving Linear Equation

Combine -3x and -4x to get -7x.

$$-7x+101-33=108-16x-100$$

Subtract 33 from 101 to get 68.

$$-7x+68=108-16x-100$$

Subtract 100 from 108 to get 8.

$$-7x+68=8-16x$$

Add 16x to both sides.

$$-7x+68+16x=8$$

Combine -7x and 16x to get 9x.

$$9x+68=8$$

Subtract 68 from both sides.

$$9x=8-68$$

Subtract 68 from 8 to get -60.

$$9x=-60$$

Divide both sides by 9.

$$x=\frac{-60}{9}$$

Reduce the fraction \frac{-60}{9} to lowest terms by extracting and canceling out 3.

$$x=-\frac{20}{3}$$