Solve 10950+x+(10950+x)*5%=15000

$$10950+x+(10950+x) \times 5 \% =15000$$

Solve for x

$$x = \frac{23350}{7} = 3335\frac{5}{7} \approx 3335.714285714$$

Steps for Solving Linear Equation

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

$$10950+x+\left(10950+x\right)\times \frac{1}{20}=15000$$

Use the distributive property to multiply 10950+x by \frac{1}{20}.

$$10950+x+10950\times \frac{1}{20}+x\times \frac{1}{20}=15000$$

Multiply 10950 and \frac{1}{20} to get \frac{10950}{20}.

$$10950+x+\frac{10950}{20}+x\times \frac{1}{20}=15000$$

Reduce the fraction \frac{10950}{20} to lowest terms by extracting and canceling out 10.

$$10950+x+\frac{1095}{2}+x\times \frac{1}{20}=15000$$

Convert 10950 to fraction \frac{21900}{2}.

$$\frac{21900}{2}+x+\frac{1095}{2}+x\times \frac{1}{20}=15000$$

Since \frac{21900}{2} and \frac{1095}{2} have the same denominator, add them by adding their numerators.

$$\frac{21900+1095}{2}+x+x\times \frac{1}{20}=15000$$

Add 21900 and 1095 to get 22995.

$$\frac{22995}{2}+x+x\times \frac{1}{20}=15000$$

Combine x and x\times \frac{1}{20} to get \frac{21}{20}x.

$$\frac{22995}{2}+\frac{21}{20}x=15000$$

Subtract \frac{22995}{2} from both sides.

$$\frac{21}{20}x=15000-\frac{22995}{2}$$

Convert 15000 to fraction \frac{30000}{2}.

$$\frac{21}{20}x=\frac{30000}{2}-\frac{22995}{2}$$

Since \frac{30000}{2} and \frac{22995}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21}{20}x=\frac{30000-22995}{2}$$

Subtract 22995 from 30000 to get 7005.

$$\frac{21}{20}x=\frac{7005}{2}$$

Multiply both sides by \frac{20}{21}, the reciprocal of \frac{21}{20}.

$$x=\frac{7005}{2}\times \frac{20}{21}$$

Multiply \frac{7005}{2} times \frac{20}{21} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7005\times 20}{2\times 21}$$

Do the multiplications in the fraction \frac{7005\times 20}{2\times 21}.

$$x=\frac{140100}{42}$$

Reduce the fraction \frac{140100}{42} to lowest terms by extracting and canceling out 6.

$$x=\frac{23350}{7}$$