Solve (x-60)(120-05x)=1600

$$( x - 60 ) ( 120 - 05 x ) = 1600$$

Solve for x

$$x = \frac{220}{3} = 73\frac{1}{3} \approx 73.333333333$$

Steps for Solving Linear Equation

Multiply 0 and 5 to get 0.

$$\left(x-60\right)\left(120-0x\right)=1600$$

Anything times zero gives zero.

$$\left(x-60\right)\left(120-0\right)=1600$$

Subtract 0 from 120 to get 120.

$$\left(x-60\right)\times 120=1600$$

Use the distributive property to multiply x-60 by 120.

$$120x-7200=1600$$

Add 7200 to both sides.

$$120x=1600+7200$$

Add 1600 and 7200 to get 8800.

$$120x=8800$$

Divide both sides by 120.

$$x=\frac{8800}{120}$$

Reduce the fraction \frac{8800}{120} to lowest terms by extracting and canceling out 40.

$$x=\frac{220}{3}$$