Solve 4x- 3(5x-8)=23-9(x+2) . Please show all of your work
Get rid of parentheses.
4x-15x+24 =23-9x-18
Combine like terms.
I'll let you do that.
45 = 9x - 9
To solve the equation 4x - 3(5x - 8) = 23 - 9(x + 2), we'll follow these steps:
1. Distribute the 3 on the left side and the 9 on the right side:
4x - 3 * 5x + 3 * 8 = 23 - 9x - 9 * 2
4x - 15x + 24 = 23 - 9x - 18
2. Combine like terms on both sides by adding/subtracting:
(4x - 15x) + 24 = (23 - 9x) - 18
-11x + 24 = 23 - 9x - 18
3. Simplify further, combine like terms:
-11x + 24 = -9x + 5
4. Isolate the variable terms on one side, and constant terms on the other side:
-11x + 11x + 24 = -9x + 11x + 5
24 = 2x + 5
5. Move the constant term to the other side:
24 - 5 = 2x + 5 - 5
19 = 2x
6. Divide both sides of the equation by 2 to solve for x:
19/2 = 2x/2
x = 19/2
Therefore, the solution to the equation is x = 19/2 or x = 9.5.