Solve 3x(x+2)-(x-1)(x+2)=2x(x-1)

$$3 x ( x + 2 ) - ( x - 1 ) ( x + 2 ) = 2 x ( x - 1 )$$

Solve for x

$$x=-\frac{2}{7}\approx -0.285714286$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x by x+2.

$$3x^{2}+6x-\left(x-1\right)\left(x+2\right)=2x\left(x-1\right)$$

Use the distributive property to multiply x-1 by x+2 and combine like terms.

$$3x^{2}+6x-\left(x^{2}+x-2\right)=2x\left(x-1\right)$$

To find the opposite of x^{2}+x-2, find the opposite of each term.

$$3x^{2}+6x-x^{2}-x+2=2x\left(x-1\right)$$

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

$$2x^{2}+6x-x+2=2x\left(x-1\right)$$

Combine 6x and -x to get 5x.

$$2x^{2}+5x+2=2x\left(x-1\right)$$

Use the distributive property to multiply 2x by x-1.

$$2x^{2}+5x+2=2x^{2}-2x$$

Subtract 2x^{2} from both sides.

$$2x^{2}+5x+2-2x^{2}=-2x$$

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

$$5x+2=-2x$$

Add 2x to both sides.

$$5x+2+2x=0$$

Combine 5x and 2x to get 7x.

$$7x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$7x=-2$$

Divide both sides by 7.

$$x=\frac{-2}{7}$$

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$x=-\frac{2}{7}$$