Solve 3div(5-x)=1.5

$$3 \div (5-x)=1.5$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by -x+5.

$$3=1.5\left(-x+5\right)$$

Use the distributive property to multiply 1.5 by -x+5.

$$3=-1.5x+7.5$$

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

$$-1.5x+7.5=3$$

Subtract 7.5 from both sides.

$$-1.5x=3-7.5$$

Subtract 7.5 from 3 to get -4.5.

$$-1.5x=-4.5$$

Divide both sides by -1.5.

$$x=\frac{-4.5}{-1.5}$$

Expand \frac{-4.5}{-1.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-45}{-15}$$

Divide -45 by -15 to get 3.

$$x=3$$