Solve 17x15+243000-15x/20-3000=500

$$17x15+24 \frac{ 3000-15x }{ 20 } -3000 = 500$$

Solve for x

$$x=\frac{17x_{15}}{18}+\frac{50}{9}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20.

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

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

$$340x_{15}[phone]x-60000=10000$$

Subtract 60000 from 72000 to get 12000.

$$340x_{15}[phone]x=10000$$

Subtract 340x_{15} from both sides.

$$12000-360x=10000-340x_{15}$$

Subtract 12000 from both sides.

$$-360x=10000-340x_{15}-12000$$

Subtract 12000 from 10000 to get -2000.

$$-360x=-2000-340x_{15}$$

The equation is in standard form.

$$-360x=-340x_{15}-2000$$

Divide both sides by -360.

$$\frac{-360x}{-360}=\frac{-340x_{15}-2000}{-360}$$

Dividing by -360 undoes the multiplication by -360.

$$x=\frac{-340x_{15}-2000}{-360}$$

Divide -2000-340x_{15} by -360.

$$x=\frac{17x_{15}}{18}+\frac{50}{9}$$

Solve for x_15

$$x_{15}=\frac{18x-100}{17}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20.

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

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

$$340x_{15}[phone]x-60000=10000$$

Subtract 60000 from 72000 to get 12000.

$$340x_{15}[phone]x=10000$$

Subtract 12000 from both sides.

$$340x_{15}-360x=10000-12000$$

Subtract 12000 from 10000 to get -2000.

$$340x_{15}-360x=-2000$$

Add 360x to both sides.

$$340x_{15}=-2000+360x$$

The equation is in standard form.

$$340x_{15}=360x-2000$$

Divide both sides by 340.

$$\frac{340x_{15}}{340}=\frac{360x-2000}{340}$$

Dividing by 340 undoes the multiplication by 340.

$$x_{15}=\frac{360x-2000}{340}$$

Divide -2000+360x by 340.

$$x_{15}=\frac{18x-100}{17}$$