Solve 3(x+2.1)=10.5

$$3 ( x + 2.1 ) = 10.5$$

Solve for x

$$x=1.4$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$x+2.1=\frac{10.5}{3}$$

Expand \frac{10.5}{3} by multiplying both numerator and the denominator by 10.

$$x+2.1=\frac{105}{30}$$

Reduce the fraction \frac{105}{30} to lowest terms by extracting and canceling out 15.

$$x+2.1=\frac{7}{2}$$

Subtract 2.1 from both sides.

$$x=\frac{7}{2}-2.1$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$x=\frac{7}{2}-\frac{21}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{7}{2} and \frac{21}{10} to fractions with denominator 10.

$$x=\frac{35}{10}-\frac{21}{10}$$

Since \frac{35}{10} and \frac{21}{10} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{35-21}{10}$$

Subtract 21 from 35 to get 14.

$$x=\frac{14}{10}$$

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

$$x=\frac{7}{5}$$