180 = 14x + 7 + 20x + 8 = 34x + 15
34x = 180 - 15 = 165
x = 165/34 = 4.853
The answer is: " x = 4.853 " .
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Explanation:
To solve:
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Given: " 180 = 14x + 7 + 20x + 8 " ; Solve for "x" .
From the "right-hand side" of the equation; combine the "like terms" ; as follows:
+ 14x + 20x = + 34x ;
+ 7 + 8 = + 15 ;
and rewrite:
180 = 34x + 15 ;
↔ 34x + 15 = 180 ;
Subtract "15" from EACH SIDE of the equation; as follows:
34x + 15 − 15 = 180 − 15 ;
to get :
34x = 165 ;
Now, let us divide EACH SIDE of the equation by "34" ;
to isolate "x" on one side of the equation; & to solve for "x" ; as follows:
34x / 34 = 165 / 34 ;
to get:
x = 4.8529411764705882 ; round to: " 4.853 " .
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The answer is: " x = 4.853 " .
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