Solve 100*100+15x=60*(100+x)

$$100 \times 100 + 15 x = 60 \times ( 100 + x )$$

Solve for x

$$x = \frac{800}{9} = 88\frac{8}{9} \approx 88.888888889$$

Steps for Solving Linear Equation

Multiply 100 and 100 to get 10000.

$$10000+15x=60\left(100+x\right)$$

Use the distributive property to multiply 60 by 100+x.

$$10000+15x=6000+60x$$

Subtract 60x from both sides.

$$10000+15x-60x=6000$$

Combine 15x and -60x to get -45x.

$$10000-45x=6000$$

Subtract 10000 from both sides.

$$-45x=6000-10000$$

Subtract 10000 from 6000 to get -4000.

$$-45x=-4000$$

Divide both sides by -45.

$$x=\frac{-4000}{-45}$$

Reduce the fraction \frac{-4000}{-45} to lowest terms by extracting and canceling out -5.

$$x=\frac{800}{9}$$