Solve -2(3x-4)=3(x+2)-4+(3-8x)

$$- 2 ( 3 x - 4 ) = 3 ( x + 2 ) - 4 + ( 3 - 8 x )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 3x-4.

$$-6x+8=3\left(x+2\right)-4+3-8x$$

Use the distributive property to multiply 3 by x+2.

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

Subtract 4 from 6 to get 2.

$$-6x+8=3x+2+3-8x$$

Add 2 and 3 to get 5.

$$-6x+8=3x+5-8x$$

Combine 3x and -8x to get -5x.

$$-6x+8=-5x+5$$

Add 5x to both sides.

$$-6x+8+5x=5$$

Combine -6x and 5x to get -x.

$$-x+8=5$$

Subtract 8 from both sides.

$$-x=5-8$$

Subtract 8 from 5 to get -3.

$$-x=-3$$

Multiply both sides by -1.

$$x=3$$