Questions: Solve the equation. 2(x-1)-10=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x= . (Type an integer or a fraction.) B. The solution is all real numbers. C. There is no solution.

Solve the equation. 2(x-1)-10=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x= . (Type an integer or a fraction.) B. The solution is all real numbers. C. There is no solution.
Transcript text: Solve the equation. \[ 2(x-1)-10=0 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $x=$ $\square$ . (Type an integer or a fraction.) B. The solution is all real numbers. C. There is no solution.
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Solution

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Solution Steps

Step 1: Isolate the Variable Term

Given the linear equation in the form $ax + b = cx + d$, we first isolate the variable term on one side. By rearranging, we get $(a-c)x = d-b$, which simplifies to: $(a-c)x = 12$.

Step 2: Solve for the Variable

To solve for $x$, we divide both sides of the equation by $(a-c)$. This gives us: $x = \frac{d-b}{a-c} = \frac{0+12}{2-0} = 6$, rounded to 0 decimal places.

Final Answer:

The solution to the equation is $x = 6$.

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