Beck Hills
08/04/2023 · Senior High School
determine whether it is a solution to \( 4=2(x-1) \).
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Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( 4=2(x-1) \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(4=2\left(x-1\right)\)
- step1: Swap the sides:
\(2\left(x-1\right)=4\)
- step2: Divide both sides:
\(\frac{2\left(x-1\right)}{2}=\frac{4}{2}\)
- step3: Divide the numbers:
\(x-1=2\)
- step4: Move the constant to the right side:
\(x=2+1\)
- step5: Add the numbers:
\(x=3\)
The solution to the equation \(4=2(x-1)\) is \(x=3\).
To determine whether \(x=3\) is a solution to the equation, we substitute \(x=3\) back into the equation and check if it holds true.
Substitute \(x=3\) into the equation \(4=2(x-1)\):
\[4=2(3-1)\]
\[4=2(2)\]
\[4=4\]
Since the equation holds true when \(x=3\), \(x=3\) is a solution to the equation \(4=2(x-1)\).
Quick Answer
\(x=3\) is a solution to \(4=2(x-1)\).
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