Question

If 5/4x + 1/2 = 2x - 1/2 what is x

Answer 1

Answer:

$x=\frac{4}{3}$

Step-by-step explanation:

We can solve the equation by isolating x through order of operations. We use PEMDAS in reverse by undoing SADMEP or subtraction, addition, division, multiplication, exponents, and parenthesis.

$\frac{5}{4}x+\frac{1}{2} =2x-\frac{1}{2}$

1. We simplify any parenthesis. Have none. So move on to the next step!

2. We undo any subtraction or addition by doing the inverse on both sides.

$\frac{5}{4}x+\frac{1}{2}-\frac{1}{2} =2x-\frac{1}{2}-\frac{1}{2} \\\frac{5}{4}x =2x-1$

3. Now subtract an x term from both sides.

$\frac{5}{4}x-2x =2x-2x-1\\\frac{5}{4}x -\frac{8}{4}x =-1\\-\frac{3}{4}x=-1$

4. Divide both sides by the coefficient of x.

$-\frac{3}{4}x =-1\\x=-\frac{4}{3} (-1)\\x=\frac{4}{3}$