Solve 8(x-4)+4=8x-4(4-x)

$$8 ( x - 4 ) + 4 = 8 x - 4 ( 4 - x )$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x-4.

$$8x-32+4=8x-4\left(4-x\right)$$

Add -32 and 4 to get -28.

$$8x-28=8x-4\left(4-x\right)$$

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

$$8x-28=8x-16+4x$$

Combine 8x and 4x to get 12x.

$$8x-28=12x-16$$

Subtract 12x from both sides.

$$8x-28-12x=-16$$

Combine 8x and -12x to get -4x.

$$-4x-28=-16$$

Add 28 to both sides.

$$-4x=-16+28$$

Add -16 and 28 to get 12.

$$-4x=12$$

Divide both sides by -4.

$$x=\frac{12}{-4}$$

Divide 12 by -4 to get -3.

$$x=-3$$