2-(3x-4)=2x-9 X=? help would be lovely ๐Ÿ˜Š

x = 3

thank you so much!!! ๐Ÿ˜„

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I worked out the problem and got the same answer.

To solve the equation 2-(3x-4) = 2x-9 for x, follow these steps:

1. Begin by simplifying both sides of the equation. Distribute the negative sign in front of the parentheses:
2 - 3x + 4 = 2x - 9

2. Combine like terms on both sides of the equation. On the left side, combine the constants and the x term:
6 - 3x = 2x - 9

3. To isolate the x terms, we can move the 2x term to the left side of the equation by subtracting 2x from both sides:
6 - 3x - 2x = -9

4. Simplify the equation further:
6 - 5x = -9

5. To isolate the x term, we can move the constant term (6) to the right side of the equation by subtracting 6 from both sides:
6 - 5x - 6 = -9 - 6

6. Simplify the equation again:
-5x = -15

7. To solve for x, divide both sides of the equation by -5:
(-5x) / -5 = (-15) / -5

x = 3

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