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3(36.7-4.3x)-10=4(10-2.5x)-8(3.5-4.1x)
We simplify the equation to the form, which is simple to understand
3(36.7-4.3x)-10=4(10-2.5x)-8(3.5-4.1x)
Reorder the terms in parentheses
+(+110.1-12.9x)-10=4*(10-2.5x)-8*(3.5-4.1x)
Remove unnecessary parentheses
+110.1-12.9x-10=+4+*(+10-2.5x+)-8+*(+3.5-4.1x+)
Reorder the terms in parentheses
+110.1-12.9x-10=+(+40-10x)-8*(3.5-4.1x)
Remove unnecessary parentheses
+110.1-12.9x-10=+40-10x-8+*(+3.5-4.1x+)
Reorder the terms in parentheses
+110.1-12.9x-10=+40-10x+(-28+32.8x)
Remove unnecessary parentheses
+110.1-12.9x-10=+40-10x-28+32.8x
We move all terms containing x to the left and all other terms to the right.
-12.9x+10x-32.8x=+40-28-110.1+10
We simplify left and right side of the equation.
-35.7x=-88.1
We divide both sides of the equation by -35.7 to get x.
x=2.46778711485
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