Solve 112x/160+56/72left(1-xright)=0.72

$$\frac{ 112x }{ 160 } + \frac{ 56 }{ 72 } \left( 1-x \right) = 0.72$$

Solve for x

$$x=\frac{26}{35}\approx 0.742857143$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1440, the least common multiple of 160,72.

$$9\times 112x+1120\left(1-x\right)=1036.8$$

Multiply 9 and 112 to get 1008.

$$1008x+1120\left(1-x\right)=1036.8$$

Use the distributive property to multiply 1120 by 1-x.

$$1008x+1120-1120x=1036.8$$

Combine 1008x and -1120x to get -112x.

$$-112x+1120=1036.8$$

Subtract 1120 from both sides.

$$-112x=1036.8-1120$$

Subtract 1120 from 1036.8 to get -83.2.

$$-112x=-83.2$$

Divide both sides by -112.

$$x=\frac{-83.2}{-112}$$

Expand \frac{-83.2}{-112} by multiplying both numerator and the denominator by 10.

$$x=\frac{-832}{-1120}$$

Reduce the fraction \frac{-832}{-1120} to lowest terms by extracting and canceling out -32.

$$x=\frac{26}{35}$$