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# seven times a number and 7 is equal to six times a number

i dont understand. halp. 7x time 7 = 6x

Seven times a number and seven is equal to six times a number.
• Word problems can be tricky no matter what level of math or science you are in.
• First look at the question for words that indicate mathematical symbols.
• "times" indicates multiplication
• "a number" means we have a variable, x, to solve for
• Now we can go from left to right and write it in a mathematical equation
7x + 7 = 6x
• Then, solve for x
7x + 7 = 6x
7 = 6x - 7x
7 = -1x
7/-1 = x
x = -7
• Finally, we check our work.
7x + 7 = 6x
7(-7) + 7 = 6(-7)
-49 + 7 = -42
-42 = -42

The answer is x = -7
Seven times a number and seven is equal to six times a number.

Step 1:  Translate the verbal to Algebra.

7x + 7 = 6x.  ("And" means addition if no other operation is present.)

Step 2:  Solve for x.

7x - 6x + 7 = 6x - 6x.      (subtract 6x from both sides)

1x + 7 = 0.             (Simplify)

1x + 7 - 7 = 0 - 7.      (subtract 7 from both sides)

1x = -7.             (Simplify)

1x/1 = -7/1.        (Divide both sides by 1)

x = -7.              (Simplify)

Step 3:  Check 7 times the number -7 and 7 is equal to six times the number -7.

7(-7) + 7 = 6(-7)

-49 + 7 = -42

-42 = -42.   (Both sides are equal!)

The number again is -7.

First thing you do in word problems : choose a variable for unknown, what problem is asked you to find.

n    the number

7n     7 times the number

7n + 7       7 times the number and 7

Then the problem says it is equal  6n , make the equation

7n + 7 = 6n

and solve:

7n - 6n = -7

n = -7  / is the answer

Hi Alyson;
7x+7=6x
Let's subtract 7x from both sides...
7x+7-7x=6x-7x
7=-x
Let's multiply both sides by -1...
(-1)(7)=(-1)(-x)
-7=x
Let's check our work...
7x+7=6x
[(7)(-7)]+7=(6)(-7)
-49+7=-42
-42=-42