Solve 2(3x-7)+6=4x-3(2-2x)

$$2 ( 3 x - 7 ) + 6 = 4 x - 3 ( 2 - 2 x )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x-7.

$$6x-14+6=4x-3\left(2-2x\right)$$

Add -14 and 6 to get -8.

$$6x-8=4x-3\left(2-2x\right)$$

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

$$6x-8=4x-6+6x$$

Combine 4x and 6x to get 10x.

$$6x-8=10x-6$$

Subtract 10x from both sides.

$$6x-8-10x=-6$$

Combine 6x and -10x to get -4x.

$$-4x-8=-6$$

Add 8 to both sides.

$$-4x=-6+8$$

Add -6 and 8 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.

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