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5x+5-3\left(x-2\right)=48
Use the distributive property to multiply 5 by x+1.
5x+5-3x+6=48
Use the distributive property to multiply -3 by x-2.
2x+5+6=48
Combine 5x and -3x to get 2x.
2x+11=48
Add 5 and 6 to get 11.
2x=48-11
Subtract 11 from both sides.
2x=37
Subtract 11 from 48 to get 37.
x=\frac{37}{2}
Divide both sides by 2.