5 (x + 2) = 3x
To solve the equation 5(x + 2) = 3x, we will follow these steps:
1
To solve the equation 5(x + 2) = 3x, we will follow these steps:
1. Distribute the 5 to both terms inside the parentheses:
5 * x + 5 * 2 = 3x
This simplifies to 5x + 10 = 3x.
2. Move the terms with x to one side of the equation:
To do this, we subtract 3x from both sides:
5x + 10 – 3x = 3x – 3x
Simplifying gives us 2x + 10 = 0.
3. Move the constant term (10) to the other side of the equation:
To do this, we subtract 10 from both sides:
2x + 10 – 10 = 0 – 10
Simplifying gives us 2x = -10.
4. Solve for x by dividing both sides of the equation by 2:
2x / 2 = -10 / 2
This gives us x = -5.
So the solution to the equation 5(x + 2) = 3x is x = -5.
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