Solve 4=-4/3(5)+b

$$4 = - \frac { 4 } { 3 } ( 5 ) + b$$

Solve for b

$$b = \frac{32}{3} = 10\frac{2}{3} \approx 10.666666667$$

Steps for Solving Linear Equation

Express -\frac{4}{3}\times 5 as a single fraction.

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

Multiply -4 and 5 to get -20.

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

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

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

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

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

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

$$b=4+\frac{20}{3}$$

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

$$b=\frac{12}{3}+\frac{20}{3}$$

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

$$b=\frac{12+20}{3}$$

Add 12 and 20 to get 32.

$$b=\frac{32}{3}$$