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1/2(6x-8)=7/5(x-5)-1/5
We simplify the equation to the form, which is simple to understand
1/2(6x-8)=7/5(x-5)-1/5
Simplifying:
+ 0.5*(6x-8)=7/5*(x-5)-1/5
Simplifying:
+ 0.5*(6x-8)=+1.4*(x-5)-1/5
Simplifying:
+ 0.5*(6x-8)=+1.4*(x-5)-0.2
Reorder the terms in parentheses
+(+3x-4)=+1.4*(x-5)-0.2
Remove unnecessary parentheses
+3x-4=+1.4+*(+x-5+)-0.2
Reorder the terms in parentheses
+3x-4=+(+1.4x-7)-0.2
Remove unnecessary parentheses
+3x-4=+1.4x-7-0.2
We move all terms containing x to the left and all other terms to the right.
+3x-1.4x=-7-0.2+4
We simplify left and right side of the equation.
+1.6x=-3.2
We divide both sides of the equation by 1.6 to get x.
x=-2
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