Question
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Tutor-Verified Answer
Answer
\( x=-8 \)
Solution
Solve the equation \( 2x+3=x-5 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(2x+3=x-5\)
- step1: Move the expression to the left side:
\(2x-x=-5-3\)
- step2: Add and subtract:
\(x=-5-3\)
- step3: Add and subtract:
\(x=-8\)
The solution to the equation \(2x+3=x-5\) is \(x=-8\).
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Simplify this solution The Deep Dive
To solve the equation \( 2x + 3 = x - 5 \), start by isolating \( x \) on one side. First, subtract \( x \) from both sides to get \( 2x - x + 3 = -5 \), simplifying to \( x + 3 = -5 \). Next, subtract 3 from both sides, resulting in \( x = -5 - 3 \), which gives you \( x = -8 \). Now, you can plug \( x = -8 \) back into the original equation to check your solution: \( 2(-8) + 3 = -8 - 5 \) simplifies to \( -16 + 3 = -8 - 5 \), which ultimately results in \( -13 = -13 \). The solution checks out!
