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(x-2)/5=(x+3)/10-(7+x)
We simplify the equation to the form, which is simple to understand
(x-2)/5=(x+3)/10-(7+x)
Reorder the terms in parentheses
( + 0.2x-0.4)=(x+3)/10-(7+x)
Remove unnecessary parentheses
+ 0.2x-0.4=(x+3)/10-(7+x)
Reorder the terms in parentheses
+ 0.2x-0.4=( + 0.1x + 0.3)-(7+x)
Remove unnecessary parentheses
+ 0.2x-0.4=0.1x + 0.3-(7+x)
Remove unnecessary parentheses
+ 0.2x-0.4=0.1x + 0.3-7-1x
We move all terms containing x to the left and all other terms to the right.
+ 0.2x-0.1x+1x=0.3-7 + 0.4
We simplify left and right side of the equation.
+1.1x=-6.3
We divide both sides of the equation by 1.1 to get x.
x=-5.7272727272727
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