Solve 3x-20/60-x=0.75

$$\frac { 3 x - 20 } { 60 - x } = 0.75$$

Solve for x

$$x = \frac{52}{3} = 17\frac{1}{3} \approx 17.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to 60 since division by zero is not defined. Multiply both sides of the equation by -x+60.

$$3x-20=0.75\left(-x+60\right)$$

Use the distributive property to multiply 0.75 by -x+60.

$$3x-20=-0.75x+45$$

Add 0.75x to both sides.

$$3x-20+0.75x=45$$

Combine 3x and 0.75x to get 3.75x.

$$3.75x-20=45$$

Add 20 to both sides.

$$3.75x=45+20$$

Add 45 and 20 to get 65.

$$3.75x=65$$

Divide both sides by 3.75.

$$x=\frac{65}{3.75}$$

Expand \frac{65}{3.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{6500}{375}$$

Reduce the fraction \frac{6500}{375} to lowest terms by extracting and canceling out 125.

$$x=\frac{52}{3}$$