Problem

Solve the oquetion.
\[
8(x-4)-4=2 x+6(x-5)
\]
Belect the correct choice below and, if necessary, fill in the answer box to complete your answer.
A. The solution set is
B. The solution set is $\{x \mid x$ is a real number $\}$.
C. The solution set is Ø.

Answer

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Answer

\(\boxed{\text{The solution set is Ø.}}\)

Steps

Step 1 :Distribute the multiplication across the parentheses: \(8x - 32 - 4 = 2x + 6x - 30\)

Step 2 :Simplify the equation by combining like terms: \(8x - 36 = 8x - 30\)

Step 3 :Subtract 8x from both sides of the equation: \(-36 = -30\)

Step 4 :Since -36 does not equal -30, there are no solutions to this equation.

Step 5 :\(\boxed{\text{The solution set is Ø.}}\)

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