Solve 5/2x=-7/12-2/3=

$$\frac { 5 } { 2 } x = \frac { - 7 } { 12 } - \frac { 2 } { 3 } =$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Fraction \frac{-7}{12} can be rewritten as -\frac{7}{12} by extracting the negative sign.

$$\frac{5}{2}x=-\frac{7}{12}-\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert -\frac{7}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{5}{2}x=-\frac{7}{12}-\frac{8}{12}$$

Since -\frac{7}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{2}x=\frac{-7-8}{12}$$

Subtract 8 from -7 to get -15.

$$\frac{5}{2}x=\frac{-15}{12}$$

Reduce the fraction \frac{-15}{12} to lowest terms by extracting and canceling out 3.

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

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

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

Multiply -\frac{5}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-5\times 2}{4\times 5}.

$$x=\frac{-10}{20}$$

Reduce the fraction \frac{-10}{20} to lowest terms by extracting and canceling out 10.

$$x=-\frac{1}{2}$$