Solve 3x/4-35=100-3x/5

$$\frac { 3 x } { 4 } - 35 = 100 - \frac { 3 x } { 5 }$$

Solve for x

$$x=100$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\times 3x-700=2000-4\times 3x$$

Multiply 5 and 3 to get 15.

$$15x-700=2000-4\times 3x$$

Multiply -4 and 3 to get -12.

$$15x-700=2000-12x$$

Add 12x to both sides.

$$15x-700+12x=2000$$

Combine 15x and 12x to get 27x.

$$27x-700=2000$$

Add 700 to both sides.

$$27x=2000+700$$

Add 2000 and 700 to get 2700.

$$27x=2700$$

Divide both sides by 27.

$$x=\frac{2700}{27}$$

Divide 2700 by 27 to get 100.

$$x=100$$