Solve 4x/5+1/5+5=5x/6-2/5

$$\frac { 4 x } { 5 } + \frac { 1 } { 5 } + 5 = \frac { 5 x } { 6 } - \frac { 2 } { 5 }$$

Solve for x

$$x=168$$

Steps for Solving Linear Equation

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

$$6\times 4x+6+150=5\times 5x-12$$

Multiply 6 and 4 to get 24.

$$24x+6+150=5\times 5x-12$$

Add 6 and 150 to get 156.

$$24x+156=5\times 5x-12$$

Multiply 5 and 5 to get 25.

$$24x+156=25x-12$$

Subtract 25x from both sides.

$$24x+156-25x=-12$$

Combine 24x and -25x to get -x.

$$-x+156=-12$$

Subtract 156 from both sides.

$$-x=-12-156$$

Subtract 156 from -12 to get -168.

$$-x=-168$$

Multiply both sides by -1.

$$x=168$$