Solve {8+2(2x-1)-2x=4(x-4)

$$\{ 8 + 2 ( 2 x - 1 ) - 2 x = 4 ( x - 4 )$$

Solve for x

$$x=11$$

Steps for Solving Linear Equation

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

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

Subtract 2 from 8 to get 6.

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

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

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

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

$$6+2x=4x-16$$

Subtract 4x from both sides.

$$6+2x-4x=-16$$

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

$$6-2x=-16$$

Subtract 6 from both sides.

$$-2x=-16-6$$

Subtract 6 from -16 to get -22.

$$-2x=-22$$

Divide both sides by -2.

$$x=\frac{-22}{-2}$$

Divide -22 by -2 to get 11.

$$x=11$$