Let's solve the equation step by step:
Given equation: 12x - (5x - 8) = 8 + 7x
First, let's remove the parentheses by distributing the negative sign inside them:
12x - 5x + 8 = 8 + 7x
Simplify the like terms:
7x + 8 = 8 + 7x
Now, subtract 7x from both sides to isolate the constant term:
7x - 7x + 8 = 8
Simplifying further:
8 = 8
The equation simplifies to 8 = 8, which is true. This means that the equation is true for all values of x.
Therefore, the solution to the equation is x can be any real number.
