simplifying both sides of the equation by combining like terms.

2x + 7 = 5x + 4

isolate the terms with x on one side, we can subtract 2x from both sides of the equation to eliminate the 2x term from the left side.

2x – 2x + 7 = 5x – 2x + 4

7 = 3x + 4

Next, we can further simplify the equation by subtracting 4 from both sides to isolate the term with x.

7 – 4 = 3x + 4 – 4

3 = 3x

Finally, to solve for x, we divide both sides of the equation by 3 to isolate x.

3/3 = 3x/3

1 = x

Therefore, the solution to the equation 2x + 7 = 5x + 4 is x = 1.