Find the value of x in the equation:3(x+2)−4(x−1)=2(x+3)Responses2/32/33/43/43/23/24/3
Question
Find the value of x in the equation:
Responses
- 2/3
- 2/3
- 3/4
- 3/4
- 2/3
- 2/4
- 4/3
Solution
To find the value of x in the equation 3(x+2)−4(x−1)=2(x+3), follow these steps:
Step 1: Distribute the numbers outside the parentheses on both sides of the equation: 3x + 6 - 4x + 4 = 2x + 6
Step 2: Combine like terms on both sides of the equation: -x + 10 = 2x + 6
Step 3: Move the x terms to one side of the equation and the numbers to the other side: -x - 2x = 6 - 10
Step 4: Simplify the equation: -3x = -4
Step 5: Divide both sides of the equation by -3 to solve for x: x = -4 / -3
So, the value of x is 4/3.
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