Solve -8(3x+4)+6x=4(x-8)+4x

$$- 8 ( 3 x + 4 ) + 6 x = 4 ( x - 8 ) + 4 x$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by 3x+4.

$$-24x-32+6x=4\left(x-8\right)+4x$$

Combine -24x and 6x to get -18x.

$$-18x-32=4\left(x-8\right)+4x$$

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

$$-18x-32=4x-32+4x$$

Combine 4x and 4x to get 8x.

$$-18x-32=8x-32$$

Subtract 8x from both sides.

$$-18x-32-8x=-32$$

Combine -18x and -8x to get -26x.

$$-26x-32=-32$$

Add 32 to both sides.

$$-26x=-32+32$$

Add -32 and 32 to get 0.

$$-26x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -26 is not equal to 0, x must be equal to 0.

$$x=0$$