Solve 36(x+2)-6(x-9)-24x=100

$$36 ( x + 2 ) - 6 ( x - 9 ) - 24 x = 100$$

Solve for x

$$x = -\frac{13}{3} = -4\frac{1}{3} \approx -4.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 36 by x+2.

$$36x+72-6\left(x-9\right)-24x=100$$

Use the distributive property to multiply -6 by x-9.

$$36x+72-6x+54-24x=100$$

Combine 36x and -6x to get 30x.

$$30x+72+54-24x=100$$

Add 72 and 54 to get 126.

$$30x+126-24x=100$$

Combine 30x and -24x to get 6x.

$$6x+126=100$$

Subtract 126 from both sides.

$$6x=100-126$$

Subtract 126 from 100 to get -26.

$$6x=-26$$

Divide both sides by 6.

$$x=\frac{-26}{6}$$

Reduce the fraction \frac{-26}{6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{13}{3}$$