Solve 2x+10-2x+20+10x=200x+2-30-300x+2+30x-2

$$2x+10-2x+20+10x = 200x+2-30-300x+2+30x-2$$

Solve for x

$$x=-\frac{29}{40}=-0.725$$

Steps for Solving Linear Equation

Combine 2x and -2x to get 0.

$$10+20+10x=200x+2-30-300x+2+30x-2$$

Add 10 and 20 to get 30.

$$30+10x=200x+2-30-300x+2+30x-2$$

Subtract 30 from 2 to get -28.

$$30+10x=200x-28-300x+2+30x-2$$

Combine 200x and -300x to get -100x.

$$30+10x=-100x-28+2+30x-2$$

Add -28 and 2 to get -26.

$$30+10x=-100x-26+30x-2$$

Combine -100x and 30x to get -70x.

$$30+10x=-70x-26-2$$

Subtract 2 from -26 to get -28.

$$30+10x=-70x-28$$

Add 70x to both sides.

$$30+10x+70x=-28$$

Combine 10x and 70x to get 80x.

$$30+80x=-28$$

Subtract 30 from both sides.

$$80x=-28-30$$

Subtract 30 from -28 to get -58.

$$80x=-58$$

Divide both sides by 80.

$$x=\frac{-58}{80}$$

Reduce the fraction \frac{-58}{80} to lowest terms by extracting and canceling out 2.

$$x=-\frac{29}{40}$$