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2x=5-3x
Multiply both sides of the equation by 30, the least common multiple of 15,30.
2x+3x=5
Add 3x to both sides.
5x=5
Combine 2x and 3x to get 5x.
x=\frac{5}{5}
Divide both sides by 5.
x=1
Divide 5 by 5 to get 1.