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5=5x+15-7x
Use the distributive property to multiply 5 by x+3.
5=-2x+15
Combine 5x and -7x to get -2x.
-2x+15=5
Swap sides so that all variable terms are on the left hand side.
-2x=5-15
Subtract 15 from both sides.
-2x=-10
Subtract 15 from 5 to get -10.
x=\frac{-10}{-2}
Divide both sides by -2.
x=5
Divide -10 by -2 to get 5.