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-x=-5-7
-x=-12
x=12

To solve the equation 3x + 7 = 4x - 5, we'll want to isolate x on one side of the equation. Here's how you do it step by step:

Start with the equation:
(3x + 7 = 4x - 5)
To get all the x terms on one side, subtract 3x from both sides:
(3x - 3x + 7 = 4x - 3x - 5)
This simplifies to:
(7 = x - 5)
Next, to solve for x, add 5 to both sides to get rid of the -5 on the right side:
(7 + 5 = x - 5 + 5)
This simplifies to:
(12 = x)
So, the solution is (x = 12).