Solve 4x/5+1/5+9=5x/6-7/5

$$\frac { 4 x } { 5 } + \frac { 1 } { 5 } + 9 = \frac { 5 x } { 6 } - \frac { 7 } { 5 }$$

Solve for x

$$x=318$$

Steps for Solving Linear Equation

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

$$6\times 4x+6+270=5\times 5x-42$$

Multiply 6 and 4 to get 24.

$$24x+6+270=5\times 5x-42$$

Add 6 and 270 to get 276.

$$24x+276=5\times 5x-42$$

Multiply 5 and 5 to get 25.

$$24x+276=25x-42$$

Subtract 25x from both sides.

$$24x+276-25x=-42$$

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

$$-x+276=-42$$

Subtract 276 from both sides.

$$-x=-42-276$$

Subtract 276 from -42 to get -318.

$$-x=-318$$

Multiply both sides by -1.

$$x=318$$