Solve 80left(2.5-xright)/60+60x/80=2

$$\frac{ 80 \left( 2.5-x \right) }{ 60 } + \frac{ 60x }{ 80 } = 2$$

Solve for x

$$x = \frac{16}{7} = 2\frac{2}{7} \approx 2.285714286$$

Steps for Solving Linear Equation

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

$$4\times 80\left(2.5-x\right)+3\times 60x=480$$

Multiply 4 and 80 to get 320.

$$320\left(2.5-x\right)+3\times 60x=480$$

Use the distributive property to multiply 320 by 2.5-x.

$$800-320x+3\times 60x=480$$

Multiply 3 and 60 to get 180.

$$800-320x+180x=480$$

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

$$800-140x=480$$

Subtract 800 from both sides.

$$-140x=480-800$$

Subtract 800 from 480 to get -320.

$$-140x=-320$$

Divide both sides by -140.

$$x=\frac{-320}{-140}$$

Reduce the fraction \frac{-320}{-140} to lowest terms by extracting and canceling out -20.

$$x=\frac{16}{7}$$