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(1/4)(5x+2)-(1/5)(x+3)=2
We simplify the equation to the form, which is simple to understand
(1/4)*(5x+2)-(1/5)*(x+3)=2
Simplifying:
( + 0.25)*(5x+2)-(1/5)*(x+3)=2
Simplifying:
( + 0.25)*(5x+2)-( + 0.2)*(x+3)=2
Reorder the terms in parentheses
multiplication of parentheses
(+1.25x + 0.5)-( + 0.2)*(x+3)=2
Remove unnecessary parentheses
+1.25x + 0.5-( + 0.2)*(x+3)=2
Reorder the terms in parentheses
multiplication of parentheses
+1.25x + 0.5-( + 0.2x + 0.6)=2
Remove unnecessary parentheses
+1.25x + 0.5-0.2x-0.6=2
We move all terms containing x to the left and all other terms to the right.
+1.25x-0.2x=+2-0.5 + 0.6
We simplify left and right side of the equation.
+1.05x=+2.1
We divide both sides of the equation by 1.05 to get x.
x=2
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