5 (x + 2) = 3x
x = -5
To solve for x in the equation 5(x + 2) = 3x, we need to apply algebraic techniques to isolate the variable on one side of the equation. Here are the steps to follow:
1. Distribute the 5 on the left-hand side of the equation:
5x + 10 = 3x
2. Simplify by subtracting 3x from both sides of the equation:
5x – 3x + 10 = 0
2x + 10 = 0
3. Subtract 10 from both sides of the equation:
2x = -10
4. Divide both sides of the equation by 2:
x = -5
Therefore, the solution for the given equation is x = -5. We can check this answer by substituting x = -5 back into the original equation and verifying that it satisfies the equation.
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