Solve 20-x/4=2-5x/6

$$\frac { 20 - x } { 4 } = \frac { 2 - 5 x } { 6 }$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3\left(20-x\right)=2\left(2-5x\right)$$

Use the distributive property to multiply 3 by 20-x.

$$60-3x=2\left(2-5x\right)$$

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

$$60-3x=4-10x$$

Add 10x to both sides.

$$60-3x+10x=4$$

Combine -3x and 10x to get 7x.

$$60+7x=4$$

Subtract 60 from both sides.

$$7x=4-60$$

Subtract 60 from 4 to get -56.

$$7x=-56$$

Divide both sides by 7.

$$x=\frac{-56}{7}$$

Divide -56 by 7 to get -8.

$$x=-8$$