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3+2x=4-6x
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3+2x+6x=4
Add 6x to both sides.
3+8x=4
Combine 2x and 6x to get 8x.
8x=4-3
Subtract 3 from both sides.
8x=1
Subtract 3 from 4 to get 1.
x=\frac{1}{8}
Divide both sides by 8.