5(x-4)-8x=7x-2(4x-5)

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Solution for 5(x-4)-8x=7x-2(4x-5) equation:



5(x-4)-8x=7x-2(4x-5)
We move all terms to the left:
5(x-4)-8x-(7x-2(4x-5))=0
We add all the numbers together, and all the variables
-8x+5(x-4)-(7x-2(4x-5))=0
We multiply parentheses
-8x+5x-(7x-2(4x-5))-20=0
We calculate terms in parentheses: -(7x-2(4x-5)), so:
7x-2(4x-5)
We multiply parentheses
7x-8x+10
We add all the numbers together, and all the variables
-1x+10
Back to the equation:
-(-1x+10)
We add all the numbers together, and all the variables
-3x-(-1x+10)-20=0
We get rid of parentheses
-3x+1x-10-20=0
We add all the numbers together, and all the variables
-2x-30=0
We move all terms containing x to the left, all other terms to the right
-2x=30
x=30/-2
x=-15

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