Solve 1.5(u-2.3)=6.3

$$1.5 ( u - 2.3 ) = 6.3$$

Solve for u

$$u=6.5$$

Steps for Solving Linear Equation

Divide both sides by 1.5.

$$u-2.3=\frac{6.3}{1.5}$$

Expand \frac{6.3}{1.5} by multiplying both numerator and the denominator by 10.

$$u-2.3=\frac{63}{15}$$

Reduce the fraction \frac{63}{15} to lowest terms by extracting and canceling out 3.

$$u-2.3=\frac{21}{5}$$

Add 2.3 to both sides.

$$u=\frac{21}{5}+2.3$$

Convert decimal number 2.3 to fraction \frac{23}{10}.

$$u=\frac{21}{5}+\frac{23}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{21}{5} and \frac{23}{10} to fractions with denominator 10.

$$u=\frac{42}{10}+\frac{23}{10}$$

Since \frac{42}{10} and \frac{23}{10} have the same denominator, add them by adding their numerators.

$$u=\frac{42+23}{10}$$

Add 42 and 23 to get 65.

$$u=\frac{65}{10}$$

Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$u=\frac{13}{2}$$