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1/6(12x-30)+5/8(16x+24)=1/4(12x-16)+2/5(10x-40)
We simplify the equation to the form, which is simple to understand
1/6(12x-30)+5/8(16x+24)=1/4(12x-16)+2/5(10x-40)
Simplifying:
+ 0.166666666667*(12x-30)+5/8*(16x+24)=1/4*(12x-16)+2/5*(10x-40)
Simplifying:
+ 0.166666666667*(12x-30) + 0.625*(16x+24)=1/4*(12x-16)+2/5*(10x-40)
Simplifying:
+ 0.166666666667*(12x-30) + 0.625*(16x+24)=0.25*(12x-16)+2/5*(10x-40)
Simplifying:
+ 0.166666666667*(12x-30) + 0.625*(16x+24)=0.25*(12x-16) + 0.4*(10x-40)
Reorder the terms in parentheses
+(+2x-5) + 0.625*(16x+24)=0.25*(12x-16) + 0.4*(10x-40)
Remove unnecessary parentheses
+2x-5 + 0.625+*(+16x+24+)=0.25+*(+12x-16+) + 0.4+*(+10x-40+)
Reorder the terms in parentheses
+2x-5+(+10x+15)=0.25*(12x-16) + 0.4*(10x-40)
Remove unnecessary parentheses
+2x-5+10x+15=0.25+*(+12x-16+) + 0.4+*(+10x-40+)
Reorder the terms in parentheses
+2x-5+10x+15=+(+3x-4) + 0.4*(10x-40)
Remove unnecessary parentheses
+2x-5+10x+15=+3x-4 + 0.4+*(+10x-40+)
Reorder the terms in parentheses
+2x-5+10x+15=+3x-4+(+4x-16)
Remove unnecessary parentheses
+2x-5+10x+15=+3x-4+4x-16
We move all terms containing x to the left and all other terms to the right.
+2x+10x-3x-4x=-4-16+5-15
We simplify left and right side of the equation.
+5x=-30
We divide both sides of the equation by 5 to get x.
x=-6
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