Question
Solve for \( x \). Check your solution. \[ \begin{array}{l}2 x+5 x=35\end{array} \] \( x=\square \) (Simplify your answer.)
Ask by Barker Phillips. in the United States
Feb 03,2025
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Answer
\( x = 5 \)
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To solve for \( x \), first combine like terms in the equation: \[ 2x + 5x = 35 \implies 7x = 35 \] Next, divide both sides by 7: \[ x = \frac{35}{7} = 5 \] Now, let’s check the solution by substituting \( x \) back into the original equation: \[ 2(5) + 5(5) = 10 + 25 = 35 \] Since both sides of the equation are equal, the solution is confirmed to be correct. Therefore, the answer is \( x = 5 \).