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x+3=-2x-\left(-15\right)
To find the opposite of 2x-15, find the opposite of each term.
x+3=-2x+15
The opposite of -15 is 15.
x+3+2x=15
Add 2x to both sides.
3x+3=15
Combine x and 2x to get 3x.
3x=15-3
Subtract 3 from both sides.
3x=12
Subtract 3 from 15 to get 12.
x=\frac{12}{3}
Divide both sides by 3.
x=4
Divide 12 by 3 to get 4.