Respuesta :
Answer:
x = 4
Step-by-step 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:
x = 4
Step-by-step 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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