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

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

Solve for x

$$x = -\frac{2500}{33} = -75\frac{25}{33} \approx -75.757575758$$

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 -1.

$$\frac{33}{2500}x=-1$$

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

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