Solve 3x+5/8+5x-39=21+x/3

$$\frac { 3 x + 5 } { 8 } + 5 x - 39 = \frac { 21 + x } { 3 }$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,3.

$$3\left(3x+5\right)+120x-936=8\left(21+x\right)$$

Use the distributive property to multiply 3 by 3x+5.

$$9x+15+120x-936=8\left(21+x\right)$$

Combine 9x and 120x to get 129x.

$$129x+15-936=8\left(21+x\right)$$

Subtract 936 from 15 to get -921.

$$129x-921=8\left(21+x\right)$$

Use the distributive property to multiply 8 by 21+x.

$$129x-921=168+8x$$

Subtract 8x from both sides.

$$129x-921-8x=168$$

Combine 129x and -8x to get 121x.

$$121x-921=168$$

Add 921 to both sides.

$$121x=168+921$$

Add 168 and 921 to get 1089.

$$121x=1089$$

Divide both sides by 121.

$$x=\frac{1089}{121}$$

Divide 1089 by 121 to get 9.

$$x=9$$