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(1/7)x+(1/5)=(1/5)x-(1/7)
We simplify the equation to the form, which is simple to understand
(1/7)x+(1/5)=(1/5)x-(1/7)
Simplifying:
( + 0.142857142857)*x+(1/5)=(1/5)*x-(1/7)
Simplifying:
( + 0.142857142857)*x+( + 0.2)=(1/5)*x-(1/7)
Simplifying:
( + 0.142857142857)*x+( + 0.2)=( + 0.2)*x-(1/7)
Simplifying:
( + 0.142857142857)*x+( + 0.2)=( + 0.2)*x-( + 0.142857142857)
Reorder the terms in parentheses
( + 0.142857142857x)+( + 0.2)=( + 0.2)*x-( + 0.142857142857)
Remove unnecessary parentheses
+ 0.142857142857x+( + 0.2)=( + 0.2)*x-( + 0.142857142857)
Remove unnecessary parentheses
+ 0.142857142857x + 0.2=+( + 0.2+)+*x-( + 0.142857142857+)
Reorder the terms in parentheses
+ 0.142857142857x + 0.2=( + 0.2x)-( + 0.142857142857)
Remove unnecessary parentheses
+ 0.142857142857x + 0.2=0.2x-( + 0.142857142857)
Remove unnecessary parentheses
+ 0.142857142857x + 0.2=0.2x-0.142857142857
We move all terms containing x to the left and all other terms to the right.
+ 0.142857142857x-0.2x=-0.142857142857-0.2
We simplify left and right side of the equation.
-0.0571428571429x=-0.342857142857
We divide both sides of the equation by -0.0571428571429 to get x.
x=6
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