Solve -4/5=-1/2x-6/7

$$- \frac { 4 } { 5 } = - \frac { 1 } { 2 } x - \frac { 6 } { 7 }$$

Solve for x

$$x=-\frac{4}{35}\approx -0.114285714$$

Steps for Solving Linear Equation

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

$$-\frac{1}{2}x-\frac{6}{7}=-\frac{4}{5}$$

Add \frac{6}{7} to both sides.

$$-\frac{1}{2}x=-\frac{4}{5}+\frac{6}{7}$$

Least common multiple of 5 and 7 is 35. Convert -\frac{4}{5} and \frac{6}{7} to fractions with denominator 35.

$$-\frac{1}{2}x=-\frac{28}{35}+\frac{30}{35}$$

Since -\frac{28}{35} and \frac{30}{35} have the same denominator, add them by adding their numerators.

$$-\frac{1}{2}x=\frac{-28+30}{35}$$

Add -28 and 30 to get 2.

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

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

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

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

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

Multiply 2 and -2 to get -4.

$$x=\frac{-4}{35}$$

Fraction \frac{-4}{35} can be rewritten as -\frac{4}{35} by extracting the negative sign.

$$x=-\frac{4}{35}$$