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2x-3+20=3\left(x+3\right)-2x+8
Multiply both sides of the equation by 4, the least common multiple of 4,2.
2x+17=3\left(x+3\right)-2x+8
Add -3 and 20 to get 17.
2x+17=3x+9-2x+8
Use the distributive property to multiply 3 by x+3.
2x+17=x+9+8
Combine 3x and -2x to get x.
2x+17=x+17
Add 9 and 8 to get 17.
2x+17-x=17
Subtract x from both sides.
x+17=17
Combine 2x and -x to get x.
x=17-17
Subtract 17 from both sides.
x=0
Subtract 17 from 17 to get 0.