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

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

Solve for x

$$x = \frac{22}{7} = 3\frac{1}{7} \approx 3.142857143$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+4.

$$2x+8-2=2x-7\left(x-4\right)$$

Subtract 2 from 8 to get 6.

$$2x+6=2x-7\left(x-4\right)$$

Use the distributive property to multiply -7 by x-4.

$$2x+6=2x-7x+28$$

Combine 2x and -7x to get -5x.

$$2x+6=-5x+28$$

Add 5x to both sides.

$$2x+6+5x=28$$

Combine 2x and 5x to get 7x.

$$7x+6=28$$

Subtract 6 from both sides.

$$7x=28-6$$

Subtract 6 from 28 to get 22.

$$7x=22$$

Divide both sides by 7.

$$x=\frac{22}{7}$$