Solve 2/3x=5/4+1/4x

$$\frac { 2 } { 3 } x = \frac { 5 } { 4 } + \frac { 1 } { 4 } x$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Subtract \frac{1}{4}x from both sides.

$$\frac{2}{3}x-\frac{1}{4}x=\frac{5}{4}$$

Combine \frac{2}{3}x and -\frac{1}{4}x to get \frac{5}{12}x.

$$\frac{5}{12}x=\frac{5}{4}$$

Multiply both sides by \frac{12}{5}, the reciprocal of \frac{5}{12}.

$$x=\frac{5}{4}\times \frac{12}{5}$$

Multiply \frac{5}{4} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 12}{4\times 5}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$x=3$$