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5\left(x+1\right)-3\left(2x-1\right)=15
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x+5-3\left(2x-1\right)=15
Use the distributive property to multiply 5 by x+1.
5x+5-6x+3=15
Use the distributive property to multiply -3 by 2x-1.
-x+5+3=15
Combine 5x and -6x to get -x.
-x+8=15
Add 5 and 3 to get 8.
-x=15-8
Subtract 8 from both sides.
-x=7
Subtract 8 from 15 to get 7.
x=-7
Multiply both sides by -1.