Solve x(2x-5)-2(x^2-1)=12

$$x ( 2 x - 5 ) - 2 ( x ^ { 2 } - 1 ) = 12$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply x by 2x-5.

$$2x^{2}-5x-2\left(x^{2}-1\right)=12$$

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

$$2x^{2}-5x-2x^{2}+2=12$$

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

$$-5x+2=12$$

Subtract 2 from both sides.

$$-5x=12-2$$

Subtract 2 from 12 to get 10.

$$-5x=10$$

Divide both sides by -5.

$$x=\frac{10}{-5}$$

Divide 10 by -5 to get -2.

$$x=-2$$