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

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

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Express \frac{5}{3}\left(-4\right) as a single fraction.

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

Multiply 5 and -4 to get -20.

$$-4=\frac{-20}{3}+x$$

Fraction \frac{-20}{3} can be rewritten as -\frac{20}{3} by extracting the negative sign.

$$-4=-\frac{20}{3}+x$$

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

$$-\frac{20}{3}+x=-4$$

Add \frac{20}{3} to both sides.

$$x=-4+\frac{20}{3}$$

Convert -4 to fraction -\frac{12}{3}.

$$x=-\frac{12}{3}+\frac{20}{3}$$

Since -\frac{12}{3} and \frac{20}{3} have the same denominator, add them by adding their numerators.

$$x=\frac{-12+20}{3}$$

Add -12 and 20 to get 8.

$$x=\frac{8}{3}$$