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5x+3=2(4x-5)-2
We move all terms to the left:
5x+3-(2(4x-5)-2)=0
We calculate terms in parentheses: -(2(4x-5)-2), so:We get rid of parentheses
2(4x-5)-2
We multiply parentheses
8x-10-2
We add all the numbers together, and all the variables
8x-12
Back to the equation:
-(8x-12)
5x-8x+12+3=0
We add all the numbers together, and all the variables
-3x+15=0
We move all terms containing x to the left, all other terms to the right
-3x=-15
x=-15/-3
x=+5
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