Solve 151*18x=100left(15*25+left(x-15right)33right)

$$151 \cdot 18x = 100 \left( 15 \cdot 25+ \left( x-15 \right) 33 \right)$$

Solve for x

$$x = \frac{2000}{97} = 20\frac{60}{97} \approx 20.618556701$$

Steps for Solving Linear Equation

Multiply 151 and 18 to get 2718.

$$2718x=100\left(15\times 25+\left(x-15\right)\times 33\right)$$

Multiply 15 and 25 to get 375.

$$2718x=100\left(375+\left(x-15\right)\times 33\right)$$

Use the distributive property to multiply x-15 by 33.

$$2718x=100\left(375+33x-495\right)$$

Subtract 495 from 375 to get -120.

$$2718x=100\left(-120+33x\right)$$

Use the distributive property to multiply 100 by -120+33x.

$$2718x=-12000+3300x$$

Subtract 3300x from both sides.

$$2718x-3300x=-12000$$

Combine 2718x and -3300x to get -582x.

$$-582x=-12000$$

Divide both sides by -582.

$$x=\frac{-12000}{-582}$$

Reduce the fraction \frac{-12000}{-582} to lowest terms by extracting and canceling out -6.

$$x=\frac{2000}{97}$$