Solve 15*500*(150-x)=2*4200left(x-25right)

$$15 \cdot 500 \cdot (150-x) = 2 \cdot 4200 \left( x-25 \right)$$

Solve for x

$$x = \frac{4450}{53} = 83\frac{51}{53} \approx 83.962264151$$

Steps for Solving Linear Equation

Multiply 15 and 500 to get 7500.

$$7500\left(150-x\right)=2\times 4200\left(x-25\right)$$

Use the distributive property to multiply 7500 by 150-x.

$$1125000-7500x=2\times 4200\left(x-25\right)$$

Multiply 2 and 4200 to get 8400.

$$1125000-7500x=8400\left(x-25\right)$$

Use the distributive property to multiply 8400 by x-25.

$$1125000-7500x=8400x-210000$$

Subtract 8400x from both sides.

$$1125000-7500x-8400x=-210000$$

Combine -7500x and -8400x to get -15900x.

$$1125000-15900x=-210000$$

Subtract 1125000 from both sides.

$$-15900x=-210000-1125000$$

Subtract 1125000 from -210000 to get -1335000.

$$-15900x=-1335000$$

Divide both sides by -15900.

$$x=\frac{-1335000}{-15900}$$

Reduce the fraction \frac{-1335000}{-15900} to lowest terms by extracting and canceling out -300.

$$x=\frac{4450}{53}$$