Solve 2/3x+1/2=-3/8

$$\frac { 2 } { 3 } x + \frac { 1 } { 2 } = - 3 / 8$$

Solve for x

$$x = -\frac{21}{16} = -1\frac{5}{16} = -1.3125$$

Steps for Solving Linear Equation

Subtract \frac{1}{2} from both sides.

$$\frac{2}{3}x=-\frac{3}{8}-\frac{1}{2}$$

Least common multiple of 8 and 2 is 8. Convert -\frac{3}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{2}{3}x=-\frac{3}{8}-\frac{4}{8}$$

Since -\frac{3}{8} and \frac{4}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x=\frac{-3-4}{8}$$

Subtract 4 from -3 to get -7.

$$\frac{2}{3}x=-\frac{7}{8}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=-\frac{7}{8}\times \frac{3}{2}$$

Multiply -\frac{7}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-7\times 3}{8\times 2}$$

Do the multiplications in the fraction \frac{-7\times 3}{8\times 2}.

$$x=\frac{-21}{16}$$

Fraction \frac{-21}{16} can be rewritten as -\frac{21}{16} by extracting the negative sign.

$$x=-\frac{21}{16}$$