Solve 4(x+1.4)=9.84

$$4(x+1.4)=9.84$$

Solve for x

$$x=1.06$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$x+1.4=\frac{9.84}{4}$$

Expand \frac{9.84}{4} by multiplying both numerator and the denominator by 100.

$$x+1.4=\frac{984}{400}$$

Reduce the fraction \frac{984}{400} to lowest terms by extracting and canceling out 8.

$$x+1.4=\frac{123}{50}$$

Subtract 1.4 from both sides.

$$x=\frac{123}{50}-1.4$$

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.

$$x=\frac{123}{50}-\frac{7}{5}$$

Least common multiple of 50 and 5 is 50. Convert \frac{123}{50} and \frac{7}{5} to fractions with denominator 50.

$$x=\frac{123}{50}-\frac{70}{50}$$

Since \frac{123}{50} and \frac{70}{50} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{123-70}{50}$$

Subtract 70 from 123 to get 53.

$$x=\frac{53}{50}$$