Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x=3 \)
Solution
Solve the equation \( 7x-1=5x+5 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(7x-1=5x+5\)
- step1: Move the expression to the left side:
\(7x-5x=5+1\)
- step2: Add and subtract:
\(2x=5+1\)
- step3: Add and subtract:
\(2x=6\)
- step4: Divide both sides:
\(\frac{2x}{2}=\frac{6}{2}\)
- step5: Divide the numbers:
\(x=3\)
The solution to the equation \(7x-1=5x+5\) is \(x=3\).
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Simplify this solution Bonus Knowledge
To solve for \( x \), start by isolating \( x \) on one side of the equation. Here’s how it goes: 1. Subtract \( 5x \) from both sides: \[ 7x - 5x - 1 = 5 \] This simplifies to: \[ 2x - 1 = 5 \] 2. Next, add \( 1 \) to both sides: \[ 2x - 1 + 1 = 5 + 1 \] So, you get: \[ 2x = 6 \] 3. Finally, divide by \( 2 \): \[ x = \frac{6}{2} \] Thus, the solution is: \[ x = 3 \]
