Solve the Fraction Equation: Finding X in (1/2)(x+3)=0

Question

Solve for X:

12(x+3)=0 \frac{1}{2}(x+3)=0

Video Solution

Solution Steps

00:00 Find X
00:03 Multiply by 2 to eliminate the fraction
00:17 Simplify what we can
00:23 Arrange the equation so that one side has only the unknown X
00:30 And this is the solution to the question

Step-by-Step Solution

To solve for x x in the equation 12(x+3)=0 \frac{1}{2}(x+3) = 0 , we will take the following steps:

  • Step 1: Eliminate the fraction by multiplying both sides of the equation by 2.

  • Step 2: Simplify the resulting equation to isolate the variable x x .

Let's carry out these steps:
Step 1: Multiply both sides by 2:
2×12(x+3)=2×0\Rightarrow 2 \times \frac{1}{2}(x + 3) = 2 \times 0
x+3=0\Rightarrow x + 3 = 0

Step 2: Solve the equation x+3=0 x + 3 = 0 for x x :
Subtract 3 from both sides:
x=03\Rightarrow x = 0 - 3
x=3\Rightarrow x = -3

Therefore, the solution to the equation is x=3 x = -3 .

Answer

3-