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2(4x-5)-3(-x+6)=.4(10x-65)
We simplify the equation to the form, which is simple to understand
2(4x-5)-3(-x+6)=.4(10x-65)
Reorder the terms in parentheses
+(+8x-10)-3*(-x+6)=.4*(10x-65)
Remove unnecessary parentheses
+8x-10-3+*(-x+6+)=+.4+*(+10x-65+)
Reorder the terms in parentheses
+8x-10+(+3x-18)=.4*(10x-65)
Remove unnecessary parentheses
+8x-10+3x-18=+.4+*(+10x-65+)
Reorder the terms in parentheses
+8x-10+3x-18=+(+4x-26)
Remove unnecessary parentheses
+8x-10+3x-18=+4x-26
We move all terms containing x to the left and all other terms to the right.
+8x+3x-4x=-26+10+18
We simplify left and right side of the equation.
+7x=+2
We divide both sides of the equation by 7 to get x.
x=0.285714285714
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