Solve -x/4-(8+x)/12=x-(9-2x)/2-19/6

$$- \frac { x } { 4 } - \frac { ( 8 + x ) } { 12 } = x - \frac { ( 9 - 2 x ) } { 2 } - \frac { 19 } { 6 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,12,2,6.

$$-3x-\left(8+x\right)=12x-6\left(9-2x\right)-38$$

To find the opposite of 8+x, find the opposite of each term.

$$-3x-8-x=12x-6\left(9-2x\right)-38$$

Combine -3x and -x to get -4x.

$$-4x-8=12x-6\left(9-2x\right)-38$$

Use the distributive property to multiply -6 by 9-2x.

$$-4x-8=12x-54+12x-38$$

Combine 12x and 12x to get 24x.

$$-4x-8=24x-54-38$$

Subtract 38 from -54 to get -92.

$$-4x-8=24x-92$$

Subtract 24x from both sides.

$$-4x-8-24x=-92$$

Combine -4x and -24x to get -28x.

$$-28x-8=-92$$

Add 8 to both sides.

$$-28x=-92+8$$

Add -92 and 8 to get -84.

$$-28x=-84$$

Divide both sides by -28.

$$x=\frac{-84}{-28}$$

Divide -84 by -28 to get 3.

$$x=3$$