Solve [x-(0.15x+30)]*120=1/2*20x

$$[ x - ( 0.15 x + 30 ) ] \times 120 = \frac { 1 } { 2 } \cdot 20 x$$

Solve for x

$$x = \frac{900}{23} = 39\frac{3}{23} \approx 39.130434783$$

Steps for Solving Linear Equation

To find the opposite of 0.15x+30, find the opposite of each term.

$$\left(x-0.15x-30\right)\times 120=\frac{1}{2}\times 20x$$

Combine x and -0.15x to get 0.85x.

$$\left(0.85x-30\right)\times 120=\frac{1}{2}\times 20x$$

Use the distributive property to multiply 0.85x-30 by 120.

$$102x-3600=\frac{1}{2}\times 20x$$

Multiply \frac{1}{2} and 20 to get \frac{20}{2}.

$$102x-3600=\frac{20}{2}x$$

Divide 20 by 2 to get 10.

$$102x-3600=10x$$

Subtract 10x from both sides.

$$102x-3600-10x=0$$

Combine 102x and -10x to get 92x.

$$92x-3600=0$$

Add 3600 to both sides. Anything plus zero gives itself.

$$92x=3600$$

Divide both sides by 92.

$$x=\frac{3600}{92}$$

Reduce the fraction \frac{3600}{92} to lowest terms by extracting and canceling out 4.

$$x=\frac{900}{23}$$