Solve 1.6(7.5+x)=15

$$1.6 ( 7.5 + x ) = 15$$

Solve for x

$$x=1.875$$

Steps for Solving Linear Equation

Divide both sides by 1.6.

$$7.5+x=\frac{15}{1.6}$$

Expand \frac{15}{1.6} by multiplying both numerator and the denominator by 10.

$$7.5+x=\frac{150}{16}$$

Reduce the fraction \frac{150}{16} to lowest terms by extracting and canceling out 2.

$$7.5+x=\frac{75}{8}$$

Subtract 7.5 from both sides.

$$x=\frac{75}{8}-7.5$$

Convert decimal number 7.5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{75}{8}-\frac{15}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{75}{8} and \frac{15}{2} to fractions with denominator 8.

$$x=\frac{75}{8}-\frac{60}{8}$$

Since \frac{75}{8} and \frac{60}{8} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{75-60}{8}$$

Subtract 60 from 75 to get 15.

$$x=\frac{15}{8}$$