Solving a Multi-Step Equation

3/4x + 3-2x=-1/4+1/2x+5

In this equation, x = - 1

Step-by-step explanation:

1. Solving a Multi-Step Equation 3/4x + 3-2x=-1/4+1/2x+5

3/4x + 3-2x=-1/4+1/2x+5

3/4x - 2x - 1/2x = - 1/4 + 5 - 3 (Putting all the values of x on the left)

3x - 8x - 2x = - 1 + 20 - 12 (Multiplying by 4 at both sides)

-7x = 7

x = - 1

2. Proof of replacing x by - 1

3/4 (-1) + 3 - 2 (-1) = - 1/4 + (-1/2) + 5

-3/4 + 3 + 2 = - 1/4 - 1/2 + 5

-3 + 12 + 8 = - 1 - 2 + 20 (Multiplying by 4 at both sides)

17 = 17

It means the value of - 1 for x is correct