Solve each equation and check your solution.
\[ 5(x - 3) + 2x = 41 \]
Answer (3)
5 ( x − 3 ) + 2 x = 41 ∣ s im pl i f y 5 x − 15 + 2 x = 41 ∣ co mbin e l ik e t er m s 5 x + 2 x = 41 + 15 7 x = 56 ∣ : 7 x = 8
The solution to the equation 5(x - 3) + 2x = 41 is x = 8.
We have,
To solve the equation 5(x - 3) + 2x = 41, we can follow these steps:
Distribute the 5 to the terms inside the parentheses:
5x - 15 + 2x = 41
Combine like terms on the left side:
7x - 15 = 41
Add 15 to both sides to isolate the variable:
7x - 15 + 15 = 41 + 15
7x = 56
Divide both sides by 7 to solve for x:
7x/7 = 56/7
x = 8
Therefore,
The solution to the equation 5(x - 3) + 2x = 41 is x = 8.
To check the solution , substitute x = 8 back into the original equation :
5(8 - 3) + 2(8) = 41
5(5) + 16 = 41
25 + 16 = 41
41 = 41
Since both sides of the equation are equal when x = 8, the solution is correct.
Thus,
The solution to the equation 5(x - 3) + 2x = 41 is x = 8.
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The solution to the equation 5 ( x − 3 ) + 2 x = 41 is x = 8 . When substituting x = 8 back into the original equation, both sides equal 41, confirming the solution is correct.
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