Solve 8x/3-2x/5+7x/6=100

$$\frac { 8 x } { 3 } - \frac { 2 x } { 5 } + \frac { 7 x } { 6 } = 100$$

Solve for x

$$x = \frac{3000}{103} = 29\frac{13}{103} \approx 29.126213592$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 3,5,6.

$$10\times 8x-6\times 2x+5\times 7x=3000$$

Multiply 10 and 8 to get 80.

$$80x-6\times 2x+5\times 7x=3000$$

Multiply -6 and 2 to get -12.

$$80x-12x+5\times 7x=3000$$

Combine 80x and -12x to get 68x.

$$68x+5\times 7x=3000$$

Multiply 5 and 7 to get 35.

$$68x+35x=3000$$

Combine 68x and 35x to get 103x.

$$103x=3000$$

Divide both sides by 103.

$$x=\frac{3000}{103}$$