Solve 5*(2x-2)-4x=-3*(x-2)-4

$$5 \times (2x-2)-4x=-3 \times (x-2)-4$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

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

$$10x-10-4x=-3\left(x-2\right)-4$$

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

$$6x-10=-3\left(x-2\right)-4$$

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

$$6x-10=-3x+6-4$$

Subtract 4 from 6 to get 2.

$$6x-10=-3x+2$$

Add 3x to both sides.

$$6x-10+3x=2$$

Combine 6x and 3x to get 9x.

$$9x-10=2$$

Add 10 to both sides.

$$9x=2+10$$

Add 2 and 10 to get 12.

$$9x=12$$

Divide both sides by 9.

$$x=\frac{12}{9}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$x=\frac{4}{3}$$