5(x+3)+3=2(10-x)-3(3x-10)

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Solution for 5(x+3)+3=2(10-x)-3(3x-10) equation:



5(x+3)+3=2(10-x)-3(3x-10)
We move all terms to the left:
5(x+3)+3-(2(10-x)-3(3x-10))=0
We add all the numbers together, and all the variables
5(x+3)-(2(-1x+10)-3(3x-10))+3=0
We multiply parentheses
5x-(2(-1x+10)-3(3x-10))+15+3=0
We calculate terms in parentheses: -(2(-1x+10)-3(3x-10)), so:
2(-1x+10)-3(3x-10)
We multiply parentheses
-2x-9x+20+30
We add all the numbers together, and all the variables
-11x+50
Back to the equation:
-(-11x+50)
We add all the numbers together, and all the variables
5x-(-11x+50)+18=0
We get rid of parentheses
5x+11x-50+18=0
We add all the numbers together, and all the variables
16x-32=0
We move all terms containing x to the left, all other terms to the right
16x=32
x=32/16
x=2

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