Solve 3(53/frac{19{3}})-5x/3=-2

$$3( \frac{ 53 }{ \frac{ 19 }{ 3 } } )- \frac{ 5x }{ 3 } =-2$$

Solve for x

$$x = \frac{309}{19} = 16\frac{5}{19} \approx 16.263157895$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$9\times \frac{53}{\frac{19}{3}}-5x=-6$$

Divide 53 by \frac{19}{3} by multiplying 53 by the reciprocal of \frac{19}{3}.

$$9\times 53\times \frac{3}{19}-5x=-6$$

Express 53\times \frac{3}{19} as a single fraction.

$$9\times \frac{53\times 3}{19}-5x=-6$$

Multiply 53 and 3 to get 159.

$$9\times \frac{159}{19}-5x=-6$$

Express 9\times \frac{159}{19} as a single fraction.

$$\frac{9\times 159}{19}-5x=-6$$

Multiply 9 and 159 to get 1431.

$$\frac{1431}{19}-5x=-6$$

Subtract \frac{1431}{19} from both sides.

$$-5x=-6-\frac{1431}{19}$$

Convert -6 to fraction -\frac{114}{19}.

$$-5x=-\frac{114}{19}-\frac{1431}{19}$$

Since -\frac{114}{19} and \frac{1431}{19} have the same denominator, subtract them by subtracting their numerators.

$$-5x=\frac{-114-1431}{19}$$

Subtract 1431 from -114 to get -1545.

$$-5x=-\frac{1545}{19}$$

Divide both sides by -5.

$$x=\frac{-\frac{1545}{19}}{-5}$$

Express \frac{-\frac{1545}{19}}{-5} as a single fraction.

$$x=\frac{-1545}{19\left(-5\right)}$$

Multiply 19 and -5 to get -95.

$$x=\frac{-1545}{-95}$$

Reduce the fraction \frac{-1545}{-95} to lowest terms by extracting and canceling out -5.

$$x=\frac{309}{19}$$