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

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

Solve for x

$$x = -\frac{25}{14} = -1\frac{11}{14} \approx -1.785714286$$

Steps for Solving Linear Equation

Subtract \frac{3}{5}x from both sides.

$$2x+\frac{5}{2}-\frac{3}{5}x=0$$

Combine 2x and -\frac{3}{5}x to get \frac{7}{5}x.

$$\frac{7}{5}x+\frac{5}{2}=0$$

Subtract \frac{5}{2} from both sides. Anything subtracted from zero gives its negation.

$$\frac{7}{5}x=-\frac{5}{2}$$

Multiply both sides by \frac{5}{7}, the reciprocal of \frac{7}{5}.

$$x=-\frac{5}{2}\times \frac{5}{7}$$

Multiply -\frac{5}{2} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-5\times 5}{2\times 7}$$

Do the multiplications in the fraction \frac{-5\times 5}{2\times 7}.

$$x=\frac{-25}{14}$$

Fraction \frac{-25}{14} can be rewritten as -\frac{25}{14} by extracting the negative sign.

$$x=-\frac{25}{14}$$