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4x+5/2=9x-2
We move all terms to the left:
4x+5/2-(9x-2)=0
We get rid of parentheses
4x-9x+2+5/2=0
We multiply all the terms by the denominator
4x*2-9x*2+5+2*2=0
We add all the numbers together, and all the variables
4x*2-9x*2+9=0
Wy multiply elements
8x-18x+9=0
We add all the numbers together, and all the variables
-10x+9=0
We move all terms containing x to the left, all other terms to the right
-10x=-9
x=-9/-10
x=9/10
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