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3\left(x+3\right)=2\left(x+5\right)
Multiply both sides of the equation by 12, the least common multiple of 4,6.
3x+9=2\left(x+5\right)
Use the distributive property to multiply 3 by x+3.
3x+9=2x+10
Use the distributive property to multiply 2 by x+5.
3x+9-2x=10
Subtract 2x from both sides.
x+9=10
Combine 3x and -2x to get x.
x=10-9
Subtract 9 from both sides.
x=1
Subtract 9 from 10 to get 1.