Solve 4x-12=3(-x-2x)

$$4 x - 12 = 3 ( - x - 2 x )$$

Solve for x

$$x=\frac{12}{13}\approx 0.923076923$$

Steps for Solving Linear Equation

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

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

Subtract 3\left(-x\right) from both sides.

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

Add 6x to both sides.

$$4x-12-3\left(-x\right)+6x=0$$

Multiply -1 and 3 to get -3.

$$4x-12-3\left(-1\right)x+6x=0$$

Multiply -3 and -1 to get 3.

$$4x-12+3x+6x=0$$

Combine 4x and 3x to get 7x.

$$7x-12+6x=0$$

Combine 7x and 6x to get 13x.

$$13x-12=0$$

Add 12 to both sides. Anything plus zero gives itself.

$$13x=12$$

Divide both sides by 13.

$$x=\frac{12}{13}$$