Solve 4x-4(-2x+1)=4-2(4x+24)

$$4 x - 4 ( - 2 x + 1 ) = 4 - 2 ( 4 x + 24 )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by -2x+1.

$$4x+8x-4=4-2\left(4x+24\right)$$

Combine 4x and 8x to get 12x.

$$12x-4=4-2\left(4x+24\right)$$

Use the distributive property to multiply -2 by 4x+24.

$$12x-4=4-8x-48$$

Subtract 48 from 4 to get -44.

$$12x-4=-44-8x$$

Add 8x to both sides.

$$12x-4+8x=-44$$

Combine 12x and 8x to get 20x.

$$20x-4=-44$$

Add 4 to both sides.

$$20x=-44+4$$

Add -44 and 4 to get -40.

$$20x=-40$$

Divide both sides by 20.

$$x=\frac{-40}{20}$$

Divide -40 by 20 to get -2.

$$x=-2$$