Solve 100*95%=(100+x)*750

$$100 \times 95 \% = ( 100 + x ) \times 750$$

Solve for x

$$x = -\frac{14981}{150} = -99\frac{131}{150} \approx -99.873333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{95}{100} to lowest terms by extracting and canceling out 5.

$$100\times \frac{19}{20}=\left(100+x\right)\times 750$$

Express 100\times \frac{19}{20} as a single fraction.

$$\frac{100\times 19}{20}=\left(100+x\right)\times 750$$

Multiply 100 and 19 to get 1900.

$$\frac{1900}{20}=\left(100+x\right)\times 750$$

Divide 1900 by 20 to get 95.

$$95=\left(100+x\right)\times 750$$

Use the distributive property to multiply 100+x by 750.

$$95=75000+750x$$

Swap sides so that all variable terms are on the left hand side.

$$75000+750x=95$$

Subtract 75000 from both sides.

$$750x=95-75000$$

Subtract 75000 from 95 to get -74905.

$$750x=-74905$$

Divide both sides by 750.

$$x=\frac{-74905}{750}$$

Reduce the fraction \frac{-74905}{750} to lowest terms by extracting and canceling out 5.

$$x=-\frac{14981}{150}$$