Answer
x = 4/3
Work Step by Step
1. Given: 4(x - 2) + 2(x + 3) = 6
2. Apply Distributive Property: 4x - 8 + 2x + 6 = 6
3. Add and subtract:6x = 8
4. Divide: x = 4/3
5. Check: 4(4/3 - 2) + 2(4/3 + 3) = 6
6 = 6, so 4/3 is a solution.
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