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(4x-5)/7=10-3x
We move all terms to the left:
(4x-5)/7-(10-3x)=0
We add all the numbers together, and all the variables
(4x-5)/7-(-3x+10)=0
We get rid of parentheses
(4x-5)/7+3x-10=0
We multiply all the terms by the denominator
(4x-5)+3x*7-10*7=0
We add all the numbers together, and all the variables
(4x-5)+3x*7-70=0
Wy multiply elements
(4x-5)+21x-70=0
We get rid of parentheses
4x+21x-5-70=0
We add all the numbers together, and all the variables
25x-75=0
We move all terms containing x to the left, all other terms to the right
25x=75
x=75/25
x=3
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