Solve -48/5(x+36/5)=-38/5

$$- \frac { 48 } { 5 } ( x + \frac { 36 } { 5 } ) = - \frac { 38 } { 5 }$$

Solve for x

$$x = -\frac{769}{120} = -6\frac{49}{120} \approx -6.408333333$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{5}{48}, the reciprocal of -\frac{48}{5}.

$$x+\frac{36}{5}=-\frac{38}{5}\left(-\frac{5}{48}\right)$$

Multiply -\frac{38}{5} times -\frac{5}{48} by multiplying numerator times numerator and denominator times denominator.

$$x+\frac{36}{5}=\frac{-38\left(-5\right)}{5\times 48}$$

Do the multiplications in the fraction \frac{-38\left(-5\right)}{5\times 48}.

$$x+\frac{36}{5}=\frac{190}{240}$$

Reduce the fraction \frac{190}{240} to lowest terms by extracting and canceling out 10.

$$x+\frac{36}{5}=\frac{19}{24}$$

Subtract \frac{36}{5} from both sides.

$$x=\frac{19}{24}-\frac{36}{5}$$

Least common multiple of 24 and 5 is 120. Convert \frac{19}{24} and \frac{36}{5} to fractions with denominator 120.

$$x=\frac{95}{120}-\frac{864}{120}$$

Since \frac{95}{120} and \frac{864}{120} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{95-864}{120}$$

Subtract 864 from 95 to get -769.

$$x=-\frac{769}{120}$$