Question

Solve for x
𝑥
to determine if the equation has one, none, or infinite solutions.
5(2x+2)−4=2x+6
5
(
2
𝑥
+
2
)
−
4
=
2
𝑥
+
6

Answer 1

Solve:
5(2x + 2) − 4 = 2x + 6

Expand and simplify:
10x + 10 − 4 = 2x + 6
10x + 6 = 2x + 6

Subtract 2x and 6 from both sides:
8x = 0

So x = 0.

Check: 5(2·0+2)−4 = 10−4 = 6 and 2·0+6 = 6. Matches.

Conclusion: one solution, x = 0.