Solve 600*(1+10%)=1000x

$$600 \times ( 1 + 10 \% ) = 1000 x$$

Solve for x

$$x=\frac{33}{50}=0.66$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$600\left(1+\frac{1}{10}\right)=1000x$$

Convert 1 to fraction \frac{10}{10}.

$$600\left(\frac{10}{10}+\frac{1}{10}\right)=1000x$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$600\times \frac{10+1}{10}=1000x$$

Add 10 and 1 to get 11.

$$600\times \frac{11}{10}=1000x$$

Express 600\times \frac{11}{10} as a single fraction.

$$\frac{600\times 11}{10}=1000x$$

Multiply 600 and 11 to get 6600.

$$\frac{6600}{10}=1000x$$

Divide 6600 by 10 to get 660.

$$660=1000x$$

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

$$1000x=660$$

Divide both sides by 1000.

$$x=\frac{660}{1000}$$

Reduce the fraction \frac{660}{1000} to lowest terms by extracting and canceling out 20.

$$x=\frac{33}{50}$$