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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: Subtract x from both sides

$7x + 12 - x = x - 6 - x$
$6x + 12 = -6$

Step2: Subtract 12 from both sides

$6x + 12 - 12 = -6 - 12$
$6x = -18$

Step3: Divide by 6 on both sides

$\frac{6x}{6} = \frac{-18}{6}$
$x = -3$

Answer:

$x = -3$