Solve 0.52%x+0.8%x-14=15

$$0.52 \% x+0.8 \% x-14=15$$

Solve for x

$$x = \frac{72500}{33} = 2196\frac{32}{33} \approx 2196.96969697$$

Steps for Solving Linear Equation

Expand \frac{0.52}{100} by multiplying both numerator and the denominator by 100.

$$\frac{52}{10000}x+\frac{0.8}{100}x-14=15$$

Reduce the fraction \frac{52}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{13}{2500}x+\frac{0.8}{100}x-14=15$$

Expand \frac{0.8}{100} by multiplying both numerator and the denominator by 10.

$$\frac{13}{2500}x+\frac{8}{1000}x-14=15$$

Reduce the fraction \frac{8}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{13}{2500}x+\frac{1}{125}x-14=15$$

Combine \frac{13}{2500}x and \frac{1}{125}x to get \frac{33}{2500}x.

$$\frac{33}{2500}x-14=15$$

Add 14 to both sides.

$$\frac{33}{2500}x=15+14$$

Add 15 and 14 to get 29.

$$\frac{33}{2500}x=29$$

Multiply both sides by \frac{2500}{33}, the reciprocal of \frac{33}{2500}.

$$x=29\times \frac{2500}{33}$$

Express 29\times \frac{2500}{33} as a single fraction.

$$x=\frac{29\times 2500}{33}$$

Multiply 29 and 2500 to get 72500.

$$x=\frac{72500}{33}$$