Solve the equation.
4x + 2 = 5(x + 10)
4x + 2 = 5(x + 10)
4x + 2 = 5x + 50
- x = 48
x = -48
How does the positive 48 become a negative 48?
Because - x = 48 so the inverse is true.
I could have done the problem this way.
4x + 2 = 5(x + 10)
4x + 2 = 5x + 50
2 - 50 = x
-48 = x
To solve the equation 4x + 2 = 5(x + 10), follow these steps:
Step 1: Distribute the 5 on the right side of the equation:
4x + 2 = 5x + 50
Step 2: Move all the x terms to one side of the equation by subtracting 4x from both sides:
4x - 4x + 2 = 5x - 4x + 50
2 = x + 50
Step 3: Move the constant term (50) to the other side of the equation by subtracting 50 from both sides:
2 - 50 = x + 50 - 50
-48 = x
Therefore, the solution to the equation 4x + 2 = 5(x + 10) is x = -48.