Solve 4(0.9+x)=1.4

$$4(0.9+x)=1.4$$

Solve for x

$$x=-0.55$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$0.9+x=\frac{1.4}{4}$$

Expand \frac{1.4}{4} by multiplying both numerator and the denominator by 10.

$$0.9+x=\frac{14}{40}$$

Reduce the fraction \frac{14}{40} to lowest terms by extracting and canceling out 2.

$$0.9+x=\frac{7}{20}$$

Subtract 0.9 from both sides.

$$x=\frac{7}{20}-0.9$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$x=\frac{7}{20}-\frac{9}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{7}{20} and \frac{9}{10} to fractions with denominator 20.

$$x=\frac{7}{20}-\frac{18}{20}$$

Since \frac{7}{20} and \frac{18}{20} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{7-18}{20}$$

Subtract 18 from 7 to get -11.

$$x=-\frac{11}{20}$$