Solve 7x/6+1/6+2=6x/5-7/5

$$\frac { 7 x } { 6 } + \frac { 1 } { 6 } + 2 = \frac { 6 x } { 5 } - \frac { 7 } { 5 }$$

Solve for x

$$x=107$$

Steps for Solving Linear Equation

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

$$5\times 7x+5+60=6\times 6x-42$$

Multiply 5 and 7 to get 35.

$$35x+5+60=6\times 6x-42$$

Add 5 and 60 to get 65.

$$35x+65=6\times 6x-42$$

Multiply 6 and 6 to get 36.

$$35x+65=36x-42$$

Subtract 36x from both sides.

$$35x+65-36x=-42$$

Combine 35x and -36x to get -x.

$$-x+65=-42$$

Subtract 65 from both sides.

$$-x=-42-65$$

Subtract 65 from -42 to get -107.

$$-x=-107$$

Multiply both sides by -1.

$$x=107$$