Solve 2(2x-3)-4(4x-4)=12

$$2 ( 2 x - 3 ) - 4 ( 4 x - 4 ) = 12$$

Solve for x

$$x=-\frac{1}{6}\approx -0.166666667$$

Steps for Solving Linear Equation

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

$$4x-6-4\left(4x-4\right)=12$$

Use the distributive property to multiply -4 by 4x-4.

$$4x-6-16x+16=12$$

Combine 4x and -16x to get -12x.

$$-12x-6+16=12$$

Add -6 and 16 to get 10.

$$-12x+10=12$$

Subtract 10 from both sides.

$$-12x=12-10$$

Subtract 10 from 12 to get 2.

$$-12x=2$$

Divide both sides by -12.

$$x=\frac{2}{-12}$$

Reduce the fraction \frac{2}{-12} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{6}$$