Sign In
Ask Question
Cierra
Mathematics
5 October, 18:06
2x + 6 = 7x - 14, what is "x"
+1
Answers (
1
)
Christopher Henry
5 October, 18:25
0
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
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“2x + 6 = 7x - 14, what is "x" ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
16 less than 4 times a number is 6 more than half of the number
Answers (1)
1. Which one of the following is a solution of the system? x + y 8 No solution (6, 9) Infnitely Many Solutions (-2, 4) 2. Which ordered pair does not satisfy the system? y 3/4 x - 2 (3, - 2) (2, 3) (-1, 4) (-1, - 1)
Answers (1)
My number has a tens digit that is 8 more than the ones digits. zero is not one of my digits.
Answers (1)
Water cost $0.08 per gallon. The equation y = 0.08x relates the total cost of water (y) to the number of gallons (x) used. Identify the unit rate in the equation.  A) x B) 0.08 C) y D) 0.08x
Answers (1)
A) What number is 55% of 40? B) 75% of what is 42?
Answers (1)
New Questions in Mathematics
What is the constant of proportionality (unit rate) for the following equation: a = 156 · n
Answers (1)
4.2.9 For f (x) = 2*, find f (7/2) How do you solve this
Answers (1)
The measure of an angle is eleven times the measure of a supplementary angle. what is the measure of each angle?
Answers (1)
THE vertices of ABC are A (-2,2, B (6,2, and c (0,8). The perimeter of ABC is
Answers (1)
The cost to enter a waterpark increases from $56 per person to $73 per person. What percent of the entry fee increase
Answers (1)
Home
»
Mathematics
» 2x + 6 = 7x - 14, what is "x"
Sign In
Sign Up
Forgot Password?