Solve 1/5(3x+2)-1=x/3+5

$$\frac { 1 } { 5 } ( 3 x + 2 ) - 1 = \frac { x } { 3 } + 5$$

Solve for x

$$x=21$$

Steps for Solving Linear Equation

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

$$3\left(3x+2\right)-15=5x+75$$

Use the distributive property to multiply 3 by 3x+2.

$$9x+6-15=5x+75$$

Subtract 15 from 6 to get -9.

$$9x-9=5x+75$$

Subtract 5x from both sides.

$$9x-9-5x=75$$

Combine 9x and -5x to get 4x.

$$4x-9=75$$

Add 9 to both sides.

$$4x=75+9$$

Add 75 and 9 to get 84.

$$4x=84$$

Divide both sides by 4.

$$x=\frac{84}{4}$$

Divide 84 by 4 to get 21.

$$x=21$$