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

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

Solve for x

$$x = -\frac{14}{9} = -1\frac{5}{9} \approx -1.555555556$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

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

Add \frac{4}{3} to both sides.

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

Least common multiple of 2 and 3 is 6. Convert -\frac{5}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{3}{4}x=-\frac{15}{6}+\frac{8}{6}$$

Since -\frac{15}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.

$$\frac{3}{4}x=\frac{-15+8}{6}$$

Add -15 and 8 to get -7.

$$\frac{3}{4}x=-\frac{7}{6}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=-\frac{7}{6}\times \frac{4}{3}$$

Multiply -\frac{7}{6} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-7\times 4}{6\times 3}$$

Do the multiplications in the fraction \frac{-7\times 4}{6\times 3}.

$$x=\frac{-28}{18}$$

Reduce the fraction \frac{-28}{18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{14}{9}$$