Solve 94(x+1.4)=9.84

$$94 ( x + 1.4 ) = 9.84$$

Solve for x

$$x = -\frac{1522}{1175} = -1\frac{347}{1175} \approx -1.295319149$$

Steps for Solving Linear Equation

Divide both sides by 94.

$$x+1.4=\frac{9.84}{94}$$

Expand \frac{9.84}{94} by multiplying both numerator and the denominator by 100.

$$x+1.4=\frac{984}{9400}$$

Reduce the fraction \frac{984}{9400} to lowest terms by extracting and canceling out 8.

$$x+1.4=\frac{123}{1175}$$

Subtract 1.4 from both sides.

$$x=\frac{123}{1175}-1.4$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{123}{1175}-\frac{7}{5}$$

Least common multiple of 1175 and 5 is 1175. Convert \frac{123}{1175} and \frac{7}{5} to fractions with denominator 1175.

$$x=\frac{123}{1175}-\frac{1645}{1175}$$

Since \frac{123}{1175} and \frac{1645}{1175} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{123-1645}{1175}$$

Subtract 1645 from 123 to get -1522.

$$x=-\frac{1522}{1175}$$