Solve 17*15x+24*3000-15x/20-3000=500

$$17 \cdot 15x+24 \times \frac{ 3000-15x }{ 20 } -3000 = 500$$

Solve for x

$$x=-\frac{100}{237}\approx -0.421940928$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20.

$$340\times 15x+24\left(3000-15x\right)-60000=10000$$

Multiply 340 and 15 to get 5100.

$$5100x+24\left(3000-15x\right)-60000=10000$$

Use the distributive property to multiply 24 by 3000-15x.

$$5100x+72000-360x-60000=10000$$

Combine 5100x and -360x to get 4740x.

$$4740x+72000-60000=10000$$

Subtract 60000 from 72000 to get 12000.

$$4740x+12000=10000$$

Subtract 12000 from both sides.

$$4740x=10000-12000$$

Subtract 12000 from 10000 to get -2000.

$$4740x=-2000$$

Divide both sides by 4740.

$$x=\frac{-2000}{4740}$$

Reduce the fraction \frac{-2000}{4740} to lowest terms by extracting and canceling out 20.

$$x=-\frac{100}{237}$$