Solve 7x-x=2(x+20)-(x+20)

$$7x-x=2(x+20)-(x+20)$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Combine 7x and -x to get 6x.

$$6x=2\left(x+20\right)-\left(x+20\right)$$

Use the distributive property to multiply 2 by x+20.

$$6x=2x+40-\left(x+20\right)$$

To find the opposite of x+20, find the opposite of each term.

$$6x=2x+40-x-20$$

Combine 2x and -x to get x.

$$6x=x+40-20$$

Subtract 20 from 40 to get 20.

$$6x=x+20$$

Subtract x from both sides.

$$6x-x=20$$

Combine 6x and -x to get 5x.

$$5x=20$$

Divide both sides by 5.

$$x=\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$x=4$$