Solve -4/5*x+6=2/3

$$- \frac { 4 } { 5 } \cdot x + 6 = \frac { 2 } { 3 }$$

Solve for x

$$x = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

Steps for Solving Linear Equation

Subtract 6 from both sides.

$$-\frac{4}{5}x=\frac{2}{3}-6$$

Convert 6 to fraction \frac{18}{3}.

$$-\frac{4}{5}x=\frac{2}{3}-\frac{18}{3}$$

Since \frac{2}{3} and \frac{18}{3} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{4}{5}x=\frac{2-18}{3}$$

Subtract 18 from 2 to get -16.

$$-\frac{4}{5}x=-\frac{16}{3}$$

Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.

$$x=-\frac{16}{3}\left(-\frac{5}{4}\right)$$

Multiply -\frac{16}{3} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-16\left(-5\right)}{3\times 4}$$

Do the multiplications in the fraction \frac{-16\left(-5\right)}{3\times 4}.

$$x=\frac{80}{12}$$

Reduce the fraction \frac{80}{12} to lowest terms by extracting and canceling out 4.

$$x=\frac{20}{3}$$