4(2x-3)-5=6(3-x)-7

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Solution for 4(2x-3)-5=6(3-x)-7 equation:



4(2x-3)-5=6(3-x)-7
We move all terms to the left:
4(2x-3)-5-(6(3-x)-7)=0
We add all the numbers together, and all the variables
4(2x-3)-(6(-1x+3)-7)-5=0
We multiply parentheses
8x-(6(-1x+3)-7)-12-5=0
We calculate terms in parentheses: -(6(-1x+3)-7), so:
6(-1x+3)-7
We multiply parentheses
-6x+18-7
We add all the numbers together, and all the variables
-6x+11
Back to the equation:
-(-6x+11)
We add all the numbers together, and all the variables
8x-(-6x+11)-17=0
We get rid of parentheses
8x+6x-11-17=0
We add all the numbers together, and all the variables
14x-28=0
We move all terms containing x to the left, all other terms to the right
14x=28
x=28/14
x=2

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