Solve 83+x/6=17+x/2+1

$$\frac { 83 + x } { 6 } = \frac { 17 + x } { 2 } + 1$$

Solve for x

$$x=13$$

Steps for Solving Linear Equation

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

$$83+x=3\left(17+x\right)+6$$

Use the distributive property to multiply 3 by 17+x.

$$83+x=51+3x+6$$

Add 51 and 6 to get 57.

$$83+x=57+3x$$

Subtract 3x from both sides.

$$83+x-3x=57$$

Combine x and -3x to get -2x.

$$83-2x=57$$

Subtract 83 from both sides.

$$-2x=57-83$$

Subtract 83 from 57 to get -26.

$$-2x=-26$$

Divide both sides by -2.

$$x=\frac{-26}{-2}$$

Divide -26 by -2 to get 13.

$$x=13$$