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1+4 (x-2) = 5-5 (x-5)
We simplify the equation to the form, which is simple to understand
1+4(x-2)=5-5(x-5)
Reorder the terms in parentheses
1+(+4x-8)=5-5*(x-5)
Remove unnecessary parentheses
+1+4x-8=+5-5+*(+x-5+)
Reorder the terms in parentheses
1+4x-8=5+(-5x+25)
Remove unnecessary parentheses
+1+4x-8=+5-5x+25
We move all terms containing x to the left and all other terms to the right.
+4x+5x=+5+25-1+8
We simplify left and right side of the equation.
+9x=+37
We divide both sides of the equation by 9 to get x.
x=4.1111111111111
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