Solve 8+x/4=x-5/6+3

$$\frac { 8 + x } { 4 } = \frac { x - 5 } { 6 } + 3$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3\left(8+x\right)=2\left(x-5\right)+36$$

Use the distributive property to multiply 3 by 8+x.

$$24+3x=2\left(x-5\right)+36$$

Use the distributive property to multiply 2 by x-5.

$$24+3x=2x-10+36$$

Add -10 and 36 to get 26.

$$24+3x=2x+26$$

Subtract 2x from both sides.

$$24+3x-2x=26$$

Combine 3x and -2x to get x.

$$24+x=26$$

Subtract 24 from both sides.

$$x=26-24$$

Subtract 24 from 26 to get 2.

$$x=2$$