Solve 80(25-x)/60+60x/80=2

$$\frac { 80 ( 25 - x ) } { 60 } + \frac { 60 x } { 80 } = 2$$

Solve for x

$$x = \frac{376}{7} = 53\frac{5}{7} \approx 53.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 240, the least common multiple of 60,80.

$$4\times 80\left(25-x\right)+3\times 60x=480$$

Multiply 4 and 80 to get 320.

$$320\left(25-x\right)+3\times 60x=480$$

Use the distributive property to multiply 320 by 25-x.

$$8000-320x+3\times 60x=480$$

Multiply 3 and 60 to get 180.

$$8000-320x+180x=480$$

Combine -320x and 180x to get -140x.

$$8000-140x=480$$

Subtract 8000 from both sides.

$$-140x=480-8000$$

Subtract 8000 from 480 to get -7520.

$$-140x=-7520$$

Divide both sides by -140.

$$x=\frac{-7520}{-140}$$

Reduce the fraction \frac{-7520}{-140} to lowest terms by extracting and canceling out -20.

$$x=\frac{376}{7}$$