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

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

Solve for x

$$x=-\frac{2}{5}=-0.4$$

Steps for Solving Linear Equation

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

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

Combine 2x and \frac{3}{4}x to get \frac{11}{4}x.

$$\frac{3}{2}x=\frac{11}{4}x+\frac{1}{2}$$

Subtract \frac{11}{4}x from both sides.

$$\frac{3}{2}x-\frac{11}{4}x=\frac{1}{2}$$

Combine \frac{3}{2}x and -\frac{11}{4}x to get -\frac{5}{4}x.

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

Multiply both sides by -\frac{4}{5}, the reciprocal of -\frac{5}{4}.

$$x=\frac{1}{2}\left(-\frac{4}{5}\right)$$

Multiply \frac{1}{2} times -\frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\left(-4\right)}{2\times 5}$$

Do the multiplications in the fraction \frac{1\left(-4\right)}{2\times 5}.

$$x=\frac{-4}{10}$$

Reduce the fraction \frac{-4}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{2}{5}$$