Solve 6*(x+1.5)=25.2

$$6 \times (x+1.5)=25.2$$

Solve for x

$$x=2.7$$

Steps for Solving Linear Equation

Divide both sides by 6.

$$x+1.5=\frac{25.2}{6}$$

Expand \frac{25.2}{6} by multiplying both numerator and the denominator by 10.

$$x+1.5=\frac{252}{60}$$

Reduce the fraction \frac{252}{60} to lowest terms by extracting and canceling out 12.

$$x+1.5=\frac{21}{5}$$

Subtract 1.5 from both sides.

$$x=\frac{21}{5}-1.5$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{21}{5}-\frac{3}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{21}{5} and \frac{3}{2} to fractions with denominator 10.

$$x=\frac{42}{10}-\frac{15}{10}$$

Since \frac{42}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{42-15}{10}$$

Subtract 15 from 42 to get 27.

$$x=\frac{27}{10}$$