Solve 54x+14=27/30

$$54 x + 14 = \frac { 27 } { 30 }$$

Solve for x

$$x=-\frac{131}{540}\approx -0.242592593$$

Steps for Solving Linear Equation

Reduce the fraction \frac{27}{30} to lowest terms by extracting and canceling out 3.

$$54x+14=\frac{9}{10}$$

Subtract 14 from both sides.

$$54x=\frac{9}{10}-14$$

Convert 14 to fraction \frac{140}{10}.

$$54x=\frac{9}{10}-\frac{140}{10}$$

Since \frac{9}{10} and \frac{140}{10} have the same denominator, subtract them by subtracting their numerators.

$$54x=\frac{9-140}{10}$$

Subtract 140 from 9 to get -131.

$$54x=-\frac{131}{10}$$

Divide both sides by 54.

$$x=\frac{-\frac{131}{10}}{54}$$

Express \frac{-\frac{131}{10}}{54} as a single fraction.

$$x=\frac{-131}{10\times 54}$$

Multiply 10 and 54 to get 540.

$$x=\frac{-131}{540}$$

Fraction \frac{-131}{540} can be rewritten as -\frac{131}{540} by extracting the negative sign.

$$x=-\frac{131}{540}$$