Solve 0.2(1000+5x)=15x-1000-5x

$$0.2 ( 1000 + 5 x ) = 15 x - 1000 - 5 x$$

Solve for x

$$x = \frac{400}{3} = 133\frac{1}{3} \approx 133.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.2 by 1000+5x.

$$200+x=15x-1000-5x$$

Combine 15x and -5x to get 10x.

$$200+x=10x-1000$$

Subtract 10x from both sides.

$$200+x-10x=-1000$$

Combine x and -10x to get -9x.

$$200-9x=-1000$$

Subtract 200 from both sides.

$$-9x=-1000-200$$

Subtract 200 from -1000 to get -1200.

$$-9x=-1200$$

Divide both sides by -9.

$$x=\frac{-1200}{-9}$$

Reduce the fraction \frac{-1200}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{400}{3}$$