Answer:
x = 3
Explanation:
Distribute the -5 to the terms inside the parentheses:
9x – 5(x – 4) + 3 = 35
9x – 5x + 20 + 3 = 35
Combine like terms:
9x – 5x + 20 + 3 = 35
4x + 23 = 35
Isolate the variable x by subtracting 23 from both sides of the equation: 4x + 23 - 23 = 35 - 23
4x = 12
Solve for x by dividing both sides of the equation by 4:
4x / 4 = 12 / 4
x = 3
Therefore, the solution to the equation 9x – 5(x – 4) + 3 = 35 is x = 3.