Solve -3(2x-4)+4(3-4x)=-130

$$- 3 ( 2 x - 4 ) + 4 ( 3 - 4 x ) = - 130$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

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

$$-6x+12+4\left(3-4x\right)=-130$$

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

$$-6x+12+12-16x=-130$$

Add 12 and 12 to get 24.

$$-6x+24-16x=-130$$

Combine -6x and -16x to get -22x.

$$-22x+24=-130$$

Subtract 24 from both sides.

$$-22x=-130-24$$

Subtract 24 from -130 to get -154.

$$-22x=-154$$

Divide both sides by -22.

$$x=\frac{-154}{-22}$$

Divide -154 by -22 to get 7.

$$x=7$$