Solve 8(x+1)-2x=7(3-x)

$$8 ( x + 1 ) - 2 x = 7 ( 3 - x )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x+1.

$$8x+8-2x=7\left(3-x\right)$$

Combine 8x and -2x to get 6x.

$$6x+8=7\left(3-x\right)$$

Use the distributive property to multiply 7 by 3-x.

$$6x+8=21-7x$$

Add 7x to both sides.

$$6x+8+7x=21$$

Combine 6x and 7x to get 13x.

$$13x+8=21$$

Subtract 8 from both sides.

$$13x=21-8$$

Subtract 8 from 21 to get 13.

$$13x=13$$

Divide both sides by 13.

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

Divide 13 by 13 to get 1.

$$x=1$$