Question
Solve for \( x \) \[ 2(x+4)-10=x+6 \] \( x= \)\begin{tabular}{lll} \\ \hdashline Enter an exact number \end{tabular}
Ask by Summers Sherman. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x=8 \)
Solution
Solve the equation \( 2(x+4)-10=x+6 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(2\left(x+4\right)-10=x+6\)
- step1: Move the expression to the left side:
\(2\left(x+4\right)-10-\left(x+6\right)=0\)
- step2: Subtract the terms:
\(2\left(x+4\right)-16-x=0\)
- step3: Calculate:
\(x-8=0\)
- step4: Move the constant to the right side:
\(x=0+8\)
- step5: Remove 0:
\(x=8\)
The solution to the equation \(2(x+4)-10=x+6\) is \(x=8\).
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Simplify this solution Mind Expander
To solve the equation \( 2(x+4)-10=x+6 \), let's first distribute the 2 on the left side: \[ 2x + 8 - 10 = x + 6 \] Now, simplify the left side: \[ 2x - 2 = x + 6 \] Next, we want to isolate \( x \). Subtract \( x \) from both sides: \[ 2x - x - 2 = 6 \] This simplifies to: \[ x - 2 = 6 \] Now, add 2 to both sides: \[ x = 6 + 2 \] So, we have: \[ x = 8 \] Thus, the solution is \( x = 8 \).
