Solve 9=5x+1/3-3x-6/5

$$9= \frac{ 5x+1 }{ 3 } - \frac{ 3x-6 }{ 5 }$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$135=5\left(5x+1\right)-3\left(3x-6\right)$$

Use the distributive property to multiply 5 by 5x+1.

$$135=25x+5-3\left(3x-6\right)$$

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

$$135=25x+5-9x+18$$

Combine 25x and -9x to get 16x.

$$135=16x+5+18$$

Add 5 and 18 to get 23.

$$135=16x+23$$

Swap sides so that all variable terms are on the left hand side.

$$16x+23=135$$

Subtract 23 from both sides.

$$16x=135-23$$

Subtract 23 from 135 to get 112.

$$16x=112$$

Divide both sides by 16.

$$x=\frac{112}{16}$$

Divide 112 by 16 to get 7.

$$x=7$$