Solve x+45%x=14.5

$$x + 45 \% x = 14.5$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$x+\frac{9}{20}x=14.5$$

Combine x and \frac{9}{20}x to get \frac{29}{20}x.

$$\frac{29}{20}x=14.5$$

Multiply both sides by \frac{20}{29}, the reciprocal of \frac{29}{20}.

$$x=14.5\times \frac{20}{29}$$

Convert decimal number 14.5 to fraction \frac{145}{10}. Reduce the fraction \frac{145}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{29}{2}\times \frac{20}{29}$$

Multiply \frac{29}{2} times \frac{20}{29} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{29\times 20}{2\times 29}$$

Cancel out 29 in both numerator and denominator.

$$x=\frac{20}{2}$$

Divide 20 by 2 to get 10.

$$x=10$$