Solve 4-x/5=2-2x/8

$$\frac{ 4-x }{ 5 } = \frac{ 2-2x }{ 8 }$$

Solve for x

$$x=-11$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 5,8.

$$8\left(4-x\right)=5\left(2-2x\right)$$

Use the distributive property to multiply 8 by 4-x.

$$32-8x=5\left(2-2x\right)$$

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

$$32-8x=10-10x$$

Add 10x to both sides.

$$32-8x+10x=10$$

Combine -8x and 10x to get 2x.

$$32+2x=10$$

Subtract 32 from both sides.

$$2x=10-32$$

Subtract 32 from 10 to get -22.

$$2x=-22$$

Divide both sides by 2.

$$x=\frac{-22}{2}$$

Divide -22 by 2 to get -11.

$$x=-11$$