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

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

Solve for x

$$x = -\frac{40}{17} = -2\frac{6}{17} \approx -2.352941176$$

Steps for Solving Linear Equation

Combine \frac{2}{5}x and -\frac{1}{2}x to get -\frac{1}{10}x.

$$-\frac{1}{10}x=\frac{3}{4}x+2$$

Subtract \frac{3}{4}x from both sides.

$$-\frac{1}{10}x-\frac{3}{4}x=2$$

Combine -\frac{1}{10}x and -\frac{3}{4}x to get -\frac{17}{20}x.

$$-\frac{17}{20}x=2$$

Multiply both sides by -\frac{20}{17}, the reciprocal of -\frac{17}{20}.

$$x=2\left(-\frac{20}{17}\right)$$

Express 2\left(-\frac{20}{17}\right) as a single fraction.

$$x=\frac{2\left(-20\right)}{17}$$

Multiply 2 and -20 to get -40.

$$x=\frac{-40}{17}$$

Fraction \frac{-40}{17} can be rewritten as -\frac{40}{17} by extracting the negative sign.

$$x=-\frac{40}{17}$$