Solve 11x/20-x=3x/4-1

$$\frac { 11 x } { 20 } - x = \frac { 3 x } { 4 } - 1$$

Solve for x

$$x=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

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

$$11x-20x=5\times 3x-20$$

Combine 11x and -20x to get -9x.

$$-9x=5\times 3x-20$$

Multiply 5 and 3 to get 15.

$$-9x=15x-20$$

Subtract 15x from both sides.

$$-9x-15x=-20$$

Combine -9x and -15x to get -24x.

$$-24x=-20$$

Divide both sides by -24.

$$x=\frac{-20}{-24}$$

Reduce the fraction \frac{-20}{-24} to lowest terms by extracting and canceling out -4.

$$x=\frac{5}{6}$$