Question

Solve: 3(x+2)+4=4(2x−1)+9.

Answer 1

The equation 3(x + 2) + 4 = 4(2x - 1) + 9 has the solution x = 1.

Step-by-step explanation:

To solve the equation 3(x+2)+4=4(2x−1)+9, we'll start by expanding both sides of the equation and then simplifying. Following the steps:

1. Expand both sides: 3(x) + 3(2) + 4 = 8x - 4(1) + 9.
2. Simplify both sides: 3x + 6 + 4 = 8x - 4 + 9.
3. Combine like terms: 3x + 10 = 8x + 5.
4. Move all terms with x to one side and constant terms to the other: 3x - 8x = 5 - 10.
5. Simplify the equation: -5x = -5.
6. Divide by -5 to solve for x: x = 1.

Thus, the solution to the equation is x = 1.