Question
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Answer
\( x = 4 \)
Solution
1. Start with the equation:
\( 5x - 3 = 2x + 9 \)
2. Subtract \( 2x \) from both sides to collect the \( x \)-terms on one side:
\( 5x - 2x - 3 = 9 \)
which simplifies to:
\( 3x - 3 = 9 \)
3. Add \( 3 \) to both sides to isolate the term with \( x \):
\( 3x = 9 + 3 \)
so,
\( 3x = 12 \)
4. Divide both sides by \( 3 \) to solve for \( x \):
\( x = \frac{12}{3} \)
thus,
\( x = 4 \)
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Simplify this solution Extra Insights
To find the value of \( x \), let's solve the equation step by step: Starting with the equation: \[ 5x - 3 = 2x + 9 \] First, we want to get all the \( x \) terms on one side and the constant terms on the other side. We can subtract \( 2x \) from both sides: \[ 5x - 2x - 3 = 9 \] This simplifies to: \[ 3x - 3 = 9 \] Next, add \( 3 \) to both sides: \[ 3x = 12 \] Finally, divide both sides by \( 3 \): \[ x = 4 \] So, the value of \( x \) is \( 4 \). Now go forth and conquer those equations! Happy solving!
