Solve 9(x+13)-5(21-2x)-4x=9x

$$9 ( x + 13 ) - 5 ( 21 - 2 x ) - 4 x = 9 x$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by x+13.

$$9x+117-5\left(21-2x\right)-4x=9x$$

Use the distributive property to multiply -5 by 21-2x.

$$9x+117-105+10x-4x=9x$$

Subtract 105 from 117 to get 12.

$$9x+12+10x-4x=9x$$

Combine 9x and 10x to get 19x.

$$19x+12-4x=9x$$

Combine 19x and -4x to get 15x.

$$15x+12=9x$$

Subtract 9x from both sides.

$$15x+12-9x=0$$

Combine 15x and -9x to get 6x.

$$6x+12=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$6x=-12$$

Divide both sides by 6.

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

Divide -12 by 6 to get -2.

$$x=-2$$