5x + 7 = 5(x + 7) |use distributive property: a(b + c) = ab + ac
5x + 7 = (5)(x) + (5)(7)
5x + 7 = 5x + 35 |subtract 5x from both sides
7 = 35 FALSE (it's not true! 7 is not equal 35)
Therefore, this equation has no solution.
There is no exist that value of x for which the equation would be true.
Answer: x ∈ ∅ (no solution).
