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5(3x-8)-7=5(x-2)+33
We move all terms to the left:
5(3x-8)-7-(5(x-2)+33)=0
We multiply parentheses
15x-(5(x-2)+33)-40-7=0
We calculate terms in parentheses: -(5(x-2)+33), so:We add all the numbers together, and all the variables
5(x-2)+33
We multiply parentheses
5x-10+33
We add all the numbers together, and all the variables
5x+23
Back to the equation:
-(5x+23)
15x-(5x+23)-47=0
We get rid of parentheses
15x-5x-23-47=0
We add all the numbers together, and all the variables
10x-70=0
We move all terms containing x to the left, all other terms to the right
10x=70
x=70/10
x=7
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