Solve -8/7-1/2x=-4/5

$$- \frac { 8 } { 7 } - \frac { 1 } { 2 } x = - \frac { 4 } { 5 }$$

Solve for x

$$x=-\frac{24}{35}\approx -0.685714286$$

Steps for Solving Linear Equation

Add \frac{8}{7} to both sides.

$$-\frac{1}{2}x=-\frac{4}{5}+\frac{8}{7}$$

Least common multiple of 5 and 7 is 35. Convert -\frac{4}{5} and \frac{8}{7} to fractions with denominator 35.

$$-\frac{1}{2}x=-\frac{28}{35}+\frac{40}{35}$$

Since -\frac{28}{35} and \frac{40}{35} have the same denominator, add them by adding their numerators.

$$-\frac{1}{2}x=\frac{-28+40}{35}$$

Add -28 and 40 to get 12.

$$-\frac{1}{2}x=\frac{12}{35}$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$x=\frac{12}{35}\left(-2\right)$$

Express \frac{12}{35}\left(-2\right) as a single fraction.

$$x=\frac{12\left(-2\right)}{35}$$

Multiply 12 and -2 to get -24.

$$x=\frac{-24}{35}$$

Fraction \frac{-24}{35} can be rewritten as -\frac{24}{35} by extracting the negative sign.

$$x=-\frac{24}{35}$$