Solve 4(x+5)+3(x-1)=x-13

$$4 ( x + 5 ) + 3 ( x - 1 ) = x - 13$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+5.

$$4x+20+3\left(x-1\right)=x-13$$

Use the distributive property to multiply 3 by x-1.

$$4x+20+3x-3=x-13$$

Combine 4x and 3x to get 7x.

$$7x+20-3=x-13$$

Subtract 3 from 20 to get 17.

$$7x+17=x-13$$

Subtract x from both sides.

$$7x+17-x=-13$$

Combine 7x and -x to get 6x.

$$6x+17=-13$$

Subtract 17 from both sides.

$$6x=-13-17$$

Subtract 17 from -13 to get -30.

$$6x=-30$$

Divide both sides by 6.

$$x=\frac{-30}{6}$$

Divide -30 by 6 to get -5.

$$x=-5$$