Answer:
x = 1.
Explanation:
The given equation is 3x + (–4x + 10) = 9. To solve for x, we can start by simplifying the expression inside the parentheses: -4x + 10 = -4x + 10 (the sign in front of -4x remains the same) Next, we can combine like terms by adding the -4x and 10: -4x + 10 = -4x + 10 Now, let's simplify the left side of the equation: 3x - 4x + 10 = 9 (the sign in front of 4x changes to negative) -x + 10 = 9 (combining like terms 3x - 4x gives -x) To isolate the variable, we'll subtract 10 from both sides of the equation: -x + 10 - 10 = 9 - 10 This simplifies to: -x = -1 To solve for x, we'll multiply both sides of the equation by -1: (-1)(-x) = (-1)(-1) This gives us: x = 1 Therefore, the solution to the given equation is x = 1.