Solve 2x-2(x-1/3)=2x+10/3

$$2 x - 2 ( \frac { x - 1 } { 3 } ) = \frac { 2 x + 10 } { 3 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$6x-2\left(x-1\right)=2x+10$$

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

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

Combine 6x and -2x to get 4x.

$$4x+2=2x+10$$

Subtract 2x from both sides.

$$4x+2-2x=10$$

Combine 4x and -2x to get 2x.

$$2x+2=10$$

Subtract 2 from both sides.

$$2x=10-2$$

Subtract 2 from 10 to get 8.

$$2x=8$$

Divide both sides by 2.

$$x=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$x=4$$