Let's solve the given equation step by step:
(4x + 3) - (10x + 11) = 7 + (13 - 4x)
First, we need to simplify each side:
4x + 3 - 10x - 11 = 7 + 13 - 4x
Combine the like terms on both sides:
-6x - 8 = 20 - 4x
Next, we want to isolate the variable on one side of the equation. Let's start by moving the -4x term to the left side:
-6x + 4x - 8 = 20
Combine the like terms:
-2x - 8 = 20
Now, we can move the constant term (-8) to the right side:
-2x = 20 + 8
Simplify:
-2x = 28
Finally, we divide both sides by -2 to solve for x:
x = 28 / -2
x = -14
So, the solution to the given equation is x = -14.
