Solve 3x^2+2x-1=1-2x+3x^2

$$3 x ^ { 2 } + 2 x - 1 = 1 - 2 x + 3 x ^ { 2 }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Add 2x to both sides.

$$3x^{2}+2x-1+2x=1+3x^{2}$$

Combine 2x and 2x to get 4x.

$$3x^{2}+4x-1=1+3x^{2}$$

Subtract 3x^{2} from both sides.

$$3x^{2}+4x-1-3x^{2}=1$$

Combine 3x^{2} and -3x^{2} to get 0.

$$4x-1=1$$

Add 1 to both sides.

$$4x=1+1$$

Add 1 and 1 to get 2.

$$4x=2$$

Divide both sides by 4.

$$x=\frac{2}{4}$$

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

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