Solve 5(2-x)-x=2(x+1)

$$5 ( 2 - x ) - x = 2 ( x + 1 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$10-5x-x=2\left(x+1\right)$$

Combine -5x and -x to get -6x.

$$10-6x=2\left(x+1\right)$$

Use the distributive property to multiply 2 by x+1.

$$10-6x=2x+2$$

Subtract 2x from both sides.

$$10-6x-2x=2$$

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

$$10-8x=2$$

Subtract 10 from both sides.

$$-8x=2-10$$

Subtract 10 from 2 to get -8.

$$-8x=-8$$

Divide both sides by -8.

$$x=\frac{-8}{-8}$$

Divide -8 by -8 to get 1.

$$x=1$$