Solve the Equation: Finding X in (1/2)x + 1 = 1/2

Question

Solve for X:

12x+1=12 \frac{1}{2}x+1=\frac{1}{2}

Video Solution

Solution Steps

00:00 Solve
00:04 Let's isolate the unknown X
00:16 Let's reduce what we can
00:26 Continue to isolate the unknown X
00:38 Let's reduce what we can
00:49 This is the solution to the question

Step-by-Step Solution

To solve the equation 12x+1=12\frac{1}{2}x + 1 = \frac{1}{2}, follow these steps:

  • Step 1: Subtract 1 from both sides of the equation to isolate the term containing xx.

    12x+11=121\frac{1}{2}x + 1 - 1 = \frac{1}{2} - 1

    Simplifying the right side, we have:

    12x=121\frac{1}{2}x = \frac{1}{2} - 1

  • Step 2: Simplify the expression on the right side.

    121=1222=12\frac{1}{2} - 1 = \frac{1}{2} - \frac{2}{2} = -\frac{1}{2}

    So the equation becomes 12x=12\frac{1}{2}x = -\frac{1}{2}.

  • Step 3: Solve for xx by multiplying both sides of the equation by 2 to eliminate the fraction.

    2×12x=2×122 \times \frac{1}{2}x = 2 \times -\frac{1}{2}

    This simplifies to x=1x = -1.

Therefore, the solution to the equation is x=1 x = -1 .

Answer

1 -1