Solve (30-2x)/30=(20-2)/20

$$\frac{ (30-2x) }{ 30 } = \frac{ (20-2) }{ 20 }$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 30,20.

$$2\left(30-2x\right)=3\left(20-2\right)$$

Use the distributive property to multiply 2 by 30-2x.

$$60-4x=3\left(20-2\right)$$

Subtract 2 from 20 to get 18.

$$60-4x=3\times 18$$

Multiply 3 and 18 to get 54.

$$60-4x=54$$

Subtract 60 from both sides.

$$-4x=54-60$$

Subtract 60 from 54 to get -6.

$$-4x=-6$$

Divide both sides by -4.

$$x=\frac{-6}{-4}$$

Reduce the fraction \frac{-6}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{3}{2}$$