Solve x/4+6=x/3-42/3

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

Solve for x

$$x=128$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3x+72=4x-4\left(4\times 3+2\right)$$

Multiply 4 and 3 to get 12.

$$3x+72=4x-4\left(12+2\right)$$

Add 12 and 2 to get 14.

$$3x+72=4x-4\times 14$$

Multiply -4 and 14 to get -56.

$$3x+72=4x-56$$

Subtract 4x from both sides.

$$3x+72-4x=-56$$

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

$$-x+72=-56$$

Subtract 72 from both sides.

$$-x=-56-72$$

Subtract 72 from -56 to get -128.

$$-x=-128$$

Multiply both sides by -1.

$$x=128$$