(1/2)*(x+8)+(3/2)*x=10

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Solution for (1/2)*(x+8)+(3/2)*x=10 equation:


(1/2)*(x+8)+(3/2)*x=10

We simplify the equation to the form, which is simple to understand 
(1/2)*(x+8)+(3/2)*x=10

Simplifying:
( + 0.5)*(x+8)+(3/2)*x=10

Simplifying:
( + 0.5)*(x+8)+(+1.5)*x=10

Reorder the terms in parentheses
multiplication of parentheses
( + 0.5x+4)+(+1.5)*x=10



Remove unnecessary parentheses
 + 0.5x+4+(+1.5)*x=10

Reorder the terms in parentheses
 + 0.5x+4+(+1.5x)=10

Remove unnecessary parentheses
 + 0.5x+4+1.5x=+10

We move all terms containing x to the left and all other terms to the right. 
 + 0.5x+1.5x=+10-4

We simplify left and right side of the equation. 
+2x=+6

We divide both sides of the equation by 2 to get x. 
x=3

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