Question

Solve for x
𝑥
to determine if the equation has one, none, or infinite solutions.
3(2x+2)−4=−2x+10
3
(
2
𝑥
+
2
)
−
4
=
−
2
𝑥
+
10

Answer 1

Solve: 3(2x + 2) − 4 = −2x + 10

1. Distribute: 6x + 6 − 4 = −2x + 10
2. Combine like terms: 6x + 2 = −2x + 10
3. Add 2x to both sides: 8x + 2 = 10
4. Subtract 2: 8x = 8
5. Divide by 8: x = 1

There is one solution: x = 1 (which checks: left = 8, right = 8).