so first you distribute the 5 to the x and the +2 and get 5x+10=3(x+8) then you distribute the 3 to the other x and the +8 and get 5x+10=3x+24 subtract 3x from both sides 2x+10=24 subtract 10 from both sides and get 2x=14 divide both sides by 2 and get x=7
5 ( x + 2 ) = 3 ( x + 8 ) ∣ s im pl i f y 5 x + 10 = 3 x + 24 ∣ co mbin e l ik e t er m s 5 x − 3 x = 24 − 10 2 x = 14 ∣ : 2 x = 7
To solve the equation 5 ( x + 2 ) = 3 ( x + 8 ) , we distribute, rearrange, and isolate x . This leads us to find that x = 7 . We verify the solution by substituting back into the original equation, confirming both sides are equal.
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