Solve 1200/x=1200/1.5+10

$$\frac{ 1200 }{ x } = \frac{ 1200 }{ 1.5 } +10$$

Solve for x

$$x = \frac{40}{27} = 1\frac{13}{27} \approx 1.481481481$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$1200=x\times \frac{1200}{1.5}+x\times 10$$

Expand \frac{1200}{1.5} by multiplying both numerator and the denominator by 10.

$$1200=x\times \frac{12000}{15}+x\times 10$$

Divide 12000 by 15 to get 800.

$$1200=x\times 800+x\times 10$$

Combine x\times 800 and x\times 10 to get 810x.

$$1200=810x$$

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

$$810x=1200$$

Divide both sides by 810.

$$x=\frac{1200}{810}$$

Reduce the fraction \frac{1200}{810} to lowest terms by extracting and canceling out 30.

$$x=\frac{40}{27}$$