Solve 3000-x*120/10-3000-x*10/120=x*120-x*10/130

$$\frac{ 3000-x \times 120 }{ 10 } - \frac{ 3000-x \times 10 }{ 120 } = \frac{ x \times 120-x \times 10 }{ 130 }$$

Solve for x

$$x = \frac{3900}{181} = 21\frac{99}{181} \approx 21.546961326$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1560, the least common multiple of 10,120,130.

$$156\left(3000-x\times 120\right)-13\left(3000-x\times 10\right)=12\left(x\times 120-x\times 10\right)$$

Combine x\times 120 and -x\times 10 to get 110x.

$$156\left(3000-x\times 120\right)-13\left(3000-x\times 10\right)=12\times 110x$$

Multiply 12 and 110 to get 1320.

$$156\left(3000-x\times 120\right)-13\left(3000-x\times 10\right)=1320x$$

Subtract 1320x from both sides.

$$156\left(3000-x\times 120\right)-13\left(3000-x\times 10\right)-1320x=0$$

Multiply -1 and 120 to get -120.

$$156\left(3000-120x\right)-13\left(3000-x\times 10\right)-1320x=0$$

Use the distributive property to multiply 156 by 3000-120x.

$$468000-18720x-13\left(3000-x\times 10\right)-1320x=0$$

Multiply -1 and 10 to get -10.

$$468000-18720x-13\left(3000-10x\right)-1320x=0$$

Use the distributive property to multiply -13 by 3000-10x.

$$468000-18720x-39000+130x-1320x=0$$

Subtract 39000 from 468000 to get 429000.

$$429000-18720x+130x-1320x=0$$

Combine -18720x and 130x to get -18590x.

$$429000-18590x-1320x=0$$

Combine -18590x and -1320x to get -19910x.

$$429000-19910x=0$$

Subtract 429000 from both sides. Anything subtracted from zero gives its negation.

$$-19910x=-429000$$

Divide both sides by -19910.

$$x=\frac{-429000}{-19910}$$

Reduce the fraction \frac{-429000}{-19910} to lowest terms by extracting and canceling out -110.

$$x=\frac{3900}{181}$$