Solve 5x+3(12-x)=-9x-2(8+x)

$$5x+3(12-x)=-9x-2(8+x)$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

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

$$5x+36-3x=-9x-2\left(8+x\right)$$

Combine 5x and -3x to get 2x.

$$2x+36=-9x-2\left(8+x\right)$$

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

$$2x+36=-9x-16-2x$$

Combine -9x and -2x to get -11x.

$$2x+36=-11x-16$$

Add 11x to both sides.

$$2x+36+11x=-16$$

Combine 2x and 11x to get 13x.

$$13x+36=-16$$

Subtract 36 from both sides.

$$13x=-16-36$$

Subtract 36 from -16 to get -52.

$$13x=-52$$

Divide both sides by 13.

$$x=\frac{-52}{13}$$

Divide -52 by 13 to get -4.

$$x=-4$$