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7. twelve more than seven times a number equals the number less six. so…

Question

  1. twelve more than seven times a number equals the number less six. solve the equation 7x + 12 = x - 6 to find the number, x.

Explanation:

Step1: Rearrange the equation

Move the terms with x to one - side and constants to the other side.
\[7x - x=-6 - 12\]

Step2: Simplify both sides

Combine like - terms.
\[6x=-18\]

Step3: Solve for x

Divide both sides by 6.
\[x=\frac{-18}{6}=-3\]

Answer:

\(x = - 3\)