Solve x/5+2/5=5x/6-3/2

$$\frac { x } { 5 } + \frac { 2 } { 5 } = \frac { 5 x } { 6 } - \frac { 3 } { 2 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,6,2.

$$6x+12=5\times 5x-45$$

Multiply 5 and 5 to get 25.

$$6x+12=25x-45$$

Subtract 25x from both sides.

$$6x+12-25x=-45$$

Combine 6x and -25x to get -19x.

$$-19x+12=-45$$

Subtract 12 from both sides.

$$-19x=-45-12$$

Subtract 12 from -45 to get -57.

$$-19x=-57$$

Divide both sides by -19.

$$x=\frac{-57}{-19}$$

Divide -57 by -19 to get 3.

$$x=3$$