Solve 5/2x-5/6x=-9/2

$$\frac { 5 } { 2 } x - \frac { 5 } { 6 } x = \frac { - 9 } { 2 }$$

Solve for x

$$x = -\frac{27}{10} = -2\frac{7}{10} = -2.7$$

Steps for Solving Linear Equation

Combine \frac{5}{2}x and -\frac{5}{6}x to get \frac{5}{3}x.

$$\frac{5}{3}x=\frac{-9}{2}$$

Fraction \frac{-9}{2} can be rewritten as -\frac{9}{2} by extracting the negative sign.

$$\frac{5}{3}x=-\frac{9}{2}$$

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

$$x=-\frac{9}{2}\times \frac{3}{5}$$

Multiply -\frac{9}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-9\times 3}{2\times 5}$$

Do the multiplications in the fraction \frac{-9\times 3}{2\times 5}.

$$x=\frac{-27}{10}$$

Fraction \frac{-27}{10} can be rewritten as -\frac{27}{10} by extracting the negative sign.

$$x=-\frac{27}{10}$$