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(1/5)x+(6/5)=(1/7)x+(8/7)
We simplify the equation to the form, which is simple to understand
(1/5)x+(6/5)=(1/7)x+(8/7)
Simplifying:
( + 0.2)*x+(6/5)=(1/7)*x+(8/7)
Simplifying:
( + 0.2)*x+(+1.2)=(1/7)*x+(8/7)
Simplifying:
( + 0.2)*x+(+1.2)=( + 0.142857142857)*x+(8/7)
Simplifying:
( + 0.2)*x+(+1.2)=( + 0.142857142857)*x+(+1.14285714286)
Reorder the terms in parentheses
( + 0.2x)+(+1.2)=( + 0.142857142857)*x+(+1.14285714286)
Remove unnecessary parentheses
+ 0.2x+(+1.2)=( + 0.142857142857)*x+(+1.14285714286)
Remove unnecessary parentheses
+ 0.2x+1.2=+( + 0.142857142857+)+*x+(+1.14285714286+)
Reorder the terms in parentheses
+ 0.2x+1.2=( + 0.142857142857x)+(+1.14285714286)
Remove unnecessary parentheses
+ 0.2x+1.2=0.142857142857x+(+1.14285714286)
Remove unnecessary parentheses
+ 0.2x+1.2=0.142857142857x+1.14285714286
We move all terms containing x to the left and all other terms to the right.
+ 0.2x-0.142857142857x=+1.14285714286-1.2
We simplify left and right side of the equation.
+ 0.057142857143x=-0.0571428571429
We divide both sides of the equation by 0.057142857143 to get x.
x=-0.999999999997
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