4(2x-3)+5=17

1 answer

To solve the equation, we can follow the following steps:

1. Distribute the 4 to the terms inside the parentheses: 4 * 2x = 8x, and 4 * (-3) = -12. The equation becomes 8x - 12 + 5 = 17.

2. Combine like terms: -12 + 5 = -7. The equation becomes 8x - 7 = 17.

3. To isolate the variable, we can add 7 to both sides of the equation: 8x - 7 + 7 = 17 + 7. This simplifies to 8x = 24.

4. Finally, divide both sides of the equation by 8 to solve for x: 8x/8 = 24/8. This simplifies to x = 3.

Therefore, the solution to the equation 4(2x-3) + 5 = 17 is x = 3.