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5a+23=10a+8
We move all terms to the left:
5a+23-(10a+8)=0
We get rid of parentheses
5a-10a-8+23=0
We add all the numbers together, and all the variables
-5a+15=0
We move all terms containing a to the left, all other terms to the right
-5a=-15
a=-15/-5
a=+3
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