Solve 13x-8(3x-2)=(-7x)-5(12-3x)

$$13x-8(3x-2)=(-7x)-5(12-3x)$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by 3x-2.

$$13x-24x+16=-7x-5\left(12-3x\right)$$

Combine 13x and -24x to get -11x.

$$-11x+16=-7x-5\left(12-3x\right)$$

Use the distributive property to multiply -5 by 12-3x.

$$-11x+16=-7x-60+15x$$

Combine -7x and 15x to get 8x.

$$-11x+16=8x-60$$

Subtract 8x from both sides.

$$-11x+16-8x=-60$$

Combine -11x and -8x to get -19x.

$$-19x+16=-60$$

Subtract 16 from both sides.

$$-19x=-60-16$$

Subtract 16 from -60 to get -76.

$$-19x=-76$$

Divide both sides by -19.

$$x=\frac{-76}{-19}$$

Divide -76 by -19 to get 4.

$$x=4$$