Solve 7-x/3-2=x+6/4

$$\frac { 7 - x } { 3 } - 2 = \frac { x + 6 } { 4 }$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$4\left(7-x\right)-24=3\left(x+6\right)$$

Use the distributive property to multiply 4 by 7-x.

$$28-4x-24=3\left(x+6\right)$$

Subtract 24 from 28 to get 4.

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

Use the distributive property to multiply 3 by x+6.

$$4-4x=3x+18$$

Subtract 3x from both sides.

$$4-4x-3x=18$$

Combine -4x and -3x to get -7x.

$$4-7x=18$$

Subtract 4 from both sides.

$$-7x=18-4$$

Subtract 4 from 18 to get 14.

$$-7x=14$$

Divide both sides by -7.

$$x=\frac{14}{-7}$$

Divide 14 by -7 to get -2.

$$x=-2$$