Solve 15(x+1)-7(x+9)=4x

$$15 ( x + 1 ) - 7 ( x + 9 ) = 4 x$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Use the distributive property to multiply 15 by x+1.

$$15x+15-7\left(x+9\right)=4x$$

Use the distributive property to multiply -7 by x+9.

$$15x+15-7x-63=4x$$

Combine 15x and -7x to get 8x.

$$8x+15-63=4x$$

Subtract 63 from 15 to get -48.

$$8x-48=4x$$

Subtract 4x from both sides.

$$8x-48-4x=0$$

Combine 8x and -4x to get 4x.

$$4x-48=0$$

Add 48 to both sides. Anything plus zero gives itself.

$$4x=48$$

Divide both sides by 4.

$$x=\frac{48}{4}$$

Divide 48 by 4 to get 12.

$$x=12$$