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1/5(15x-25)+1/3(6x-12)=-2(x+4)+3/4(8x-16)
We simplify the equation to the form, which is simple to understand
1/5(15x-25)+1/3(6x-12)=-2(x+4)+3/4(8x-16)
Simplifying:
+ 0.2*(15x-25)+1/3*(6x-12)=-2*(x+4)+3/4*(8x-16)
Simplifying:
+ 0.2*(15x-25) + 0.333333333333*(6x-12)=-2*(x+4)+3/4*(8x-16)
Simplifying:
+ 0.2*(15x-25) + 0.333333333333*(6x-12)=-2*(x+4) + 0.75*(8x-16)
Reorder the terms in parentheses
+(+3x-5) + 0.333333333333*(6x-12)=-2*(x+4) + 0.75*(8x-16)
Remove unnecessary parentheses
+3x-5 + 0.333333333333+*(+6x-12+)=-2+*(+x+4+) + 0.75+*(+8x-16+)
Reorder the terms in parentheses
+3x-5+(+2x-4)=-2*(x+4) + 0.75*(8x-16)
Remove unnecessary parentheses
+3x-5+2x-4=-2+*(+x+4+) + 0.75+*(+8x-16+)
Reorder the terms in parentheses
+3x-5+2x-4=+(-2x-8) + 0.75*(8x-16)
Remove unnecessary parentheses
+3x-5+2x-4=-2x-8 + 0.75+*(+8x-16+)
Reorder the terms in parentheses
+3x-5+2x-4=-2x-8+(+6x-12)
Remove unnecessary parentheses
+3x-5+2x-4=-2x-8+6x-12
We move all terms containing x to the left and all other terms to the right.
+3x+2x+2x-6x=-8-12+5+4
We simplify left and right side of the equation.
+1x=-11
We divide both sides of the equation by 1 to get x.
x=-11
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