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

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

Solve for x

$$x = \frac{33}{10} = 3\frac{3}{10} = 3.3$$

Steps for Solving Linear Equation

Subtract 4 from both sides.

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

Convert 4 to fraction \frac{20}{5}.

$$-\frac{4}{3}x=-\frac{2}{5}-\frac{20}{5}$$

Since -\frac{2}{5} and \frac{20}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{4}{3}x=\frac{-2-20}{5}$$

Subtract 20 from -2 to get -22.

$$-\frac{4}{3}x=-\frac{22}{5}$$

Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.

$$x=-\frac{22}{5}\left(-\frac{3}{4}\right)$$

Multiply -\frac{22}{5} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-22\left(-3\right)}{5\times 4}$$

Do the multiplications in the fraction \frac{-22\left(-3\right)}{5\times 4}.

$$x=\frac{66}{20}$$

Reduce the fraction \frac{66}{20} to lowest terms by extracting and canceling out 2.

$$x=\frac{33}{10}$$