Solve 3(16/x)=(x-2)*80/x+60

$$3 ( \frac { 16 } { x } ) = \frac { ( x - 2 ) \times 80 } { x } + 60$$

Solve for x

$$x = \frac{52}{35} = 1\frac{17}{35} \approx 1.485714286$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$3\times 16=\left(x-2\right)\times 80+x\times 60$$

Multiply 3 and 16 to get 48.

$$48=\left(x-2\right)\times 80+x\times 60$$

Use the distributive property to multiply x-2 by 80.

$$48=80x-160+x\times 60$$

Combine 80x and x\times 60 to get 140x.

$$48=140x-160$$

Swap sides so that all variable terms are on the left hand side.

$$140x-160=48$$

Add 160 to both sides.

$$140x=48+160$$

Add 48 and 160 to get 208.

$$140x=208$$

Divide both sides by 140.

$$x=\frac{208}{140}$$

Reduce the fraction \frac{208}{140} to lowest terms by extracting and canceling out 4.

$$x=\frac{52}{35}$$