Solve 1.5*500*(150-x)=2*4200left(x-25right)

$$1.5 \cdot 500 \cdot (150-x) = 2 \cdot 4200 \left( x-25 \right)$$

Solve for x

$$x = \frac{2150}{61} = 35\frac{15}{61} \approx 35.245901639$$

Steps for Solving Linear Equation

Multiply 1.5 and 500 to get 750.

$$750\left(150-x\right)=2\times 4200\left(x-25\right)$$

Use the distributive property to multiply 750 by 150-x.

$$112500-750x=2\times 4200\left(x-25\right)$$

Multiply 2 and 4200 to get 8400.

$$112500-750x=8400\left(x-25\right)$$

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

$$112500-750x=8400x-210000$$

Subtract 8400x from both sides.

$$112500-750x-8400x=-210000$$

Combine -750x and -8400x to get -9150x.

$$112500-9150x=-210000$$

Subtract 112500 from both sides.

$$-9150x=-210000-112500$$

Subtract 112500 from -210000 to get -322500.

$$-9150x=-322500$$

Divide both sides by -9150.

$$x=\frac{-322500}{-9150}$$

Reduce the fraction \frac{-322500}{-9150} to lowest terms by extracting and canceling out -150.

$$x=\frac{2150}{61}$$