Question

2x + 6 = 7x - 14, what is "x"

Answer 1

x = 4

Explanation:

Solve for x:

2 x + 6 = 7 x - 14

Subtract 7 x from both sides:

(2 x - 7 x) + 6 = (7 x - 7 x) - 14

2 x - 7 x = -5 x:

-5 x + 6 = (7 x - 7 x) - 14

7 x - 7 x = 0:

6 - 5 x = -14

Subtract 6 from both sides:

(6 - 6) - 5 x = -6 - 14

6 - 6 = 0:

-5 x = -6 - 14

-6 - 14 = -20:

-5 x = -20

Divide both sides of -5 x = -20 by -5:

(-5 x)/(-5) = (-20)/(-5)

(-5)/(-5) = 1:

x = (-20)/(-5)

The gcd of -20 and -5 is -5, so (-20)/(-5) = (-5×4)/(-5×1) = (-5)/(-5)×4 = 4:

Answer: x = 4

Answer 2

x = 4

Explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.

2x + 6 = 7x - 14

Subtract 6 & 7x from both sides.

2x (-7x) + 6 (-6) = 7x (-7x) - 14 (-6)

2x - 7x = -14 - 6

-5x = -20

Isolate the variable, x. Divide -5 from both sides

(-5x)/-5 = (-20)/-5

x = (-20)/-5

x = 4

4 is your answer for x.

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