Solve 80x=100(x-1/2)

$$80 x = 100 ( x - 1 / 2 )$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100 by x-\frac{1}{2}.

$$80x=100x+100\left(-\frac{1}{2}\right)$$

Express 100\left(-\frac{1}{2}\right) as a single fraction.

$$80x=100x+\frac{100\left(-1\right)}{2}$$

Multiply 100 and -1 to get -100.

$$80x=100x+\frac{-100}{2}$$

Divide -100 by 2 to get -50.

$$80x=100x-50$$

Subtract 100x from both sides.

$$80x-100x=-50$$

Combine 80x and -100x to get -20x.

$$-20x=-50$$

Divide both sides by -20.

$$x=\frac{-50}{-20}$$

Reduce the fraction \frac{-50}{-20} to lowest terms by extracting and canceling out -10.

$$x=\frac{5}{2}$$