Solve 3/2a-4/3a=-10/3+8/3a

$$\frac { 3 } { 2 } a - \frac { 4 } { 3 } a = - \frac { 10 } { 3 } + \frac { 8 } { 3 } a$$

Solve for a

$$a = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Combine \frac{3}{2}a and -\frac{4}{3}a to get \frac{1}{6}a.

$$\frac{1}{6}a=-\frac{10}{3}+\frac{8}{3}a$$

Subtract \frac{8}{3}a from both sides.

$$\frac{1}{6}a-\frac{8}{3}a=-\frac{10}{3}$$

Combine \frac{1}{6}a and -\frac{8}{3}a to get -\frac{5}{2}a.

$$-\frac{5}{2}a=-\frac{10}{3}$$

Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.

$$a=-\frac{10}{3}\left(-\frac{2}{5}\right)$$

Multiply -\frac{10}{3} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$a=\frac{-10\left(-2\right)}{3\times 5}$$

Do the multiplications in the fraction \frac{-10\left(-2\right)}{3\times 5}.

$$a=\frac{20}{15}$$

Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.

$$a=\frac{4}{3}$$