To solve the equation 3x + 5 - 4x = 7, we need to follow a step-by-step process:
Step 1: Combine the x terms
3x - 4x becomes -x. The equation now becomes -x + 5 = 7.
Step 2: Move the constants to the other side
To isolate the x term, we need to move the constant term (5) to the other side of the equation. Remember that when we move a term to the other side, its sign changes.
- x + 5 - 5 = 7 - 5
This simplifies to -x = 2.
Step 3: Solve for x
To solve for x, we need to get x by itself on one side of the equation. Since -x means -1 * x, we can divide both sides of the equation by -1 to cancel out the -1 coefficient.
-x / -1 = 2 / -1
This simplifies to x = -2.
So, the solution to the equation 3x + 5 - 4x = 7 is x = -2.