Solve 2(x-6)=-6-2(x+8)/3-4(x+2)/3

$$2 ( x - 6 ) = - 6 - \frac { 2 ( x + 8 ) } { 3 } - \frac { 4 ( x + 2 ) } { 3 }$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$6\left(x-6\right)=-18-2\left(x+8\right)-4\left(x+2\right)$$

Use the distributive property to multiply 6 by x-6.

$$6x-36=-18-2\left(x+8\right)-4\left(x+2\right)$$

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

$$6x-36=-18-2x-16-4\left(x+2\right)$$

Subtract 16 from -18 to get -34.

$$6x-36=-34-2x-4\left(x+2\right)$$

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

$$6x-36=-34-2x-4x-8$$

Combine -2x and -4x to get -6x.

$$6x-36=-34-6x-8$$

Subtract 8 from -34 to get -42.

$$6x-36=-42-6x$$

Add 6x to both sides.

$$6x-36+6x=-42$$

Combine 6x and 6x to get 12x.

$$12x-36=-42$$

Add 36 to both sides.

$$12x=-42+36$$

Add -42 and 36 to get -6.

$$12x=-6$$

Divide both sides by 12.

$$x=\frac{-6}{12}$$

Reduce the fraction \frac{-6}{12} to lowest terms by extracting and canceling out 6.

$$x=-\frac{1}{2}$$