SOLUTION: Write the verbal sentence as an equation.Then solve the equation Ten plus 6 times a number is equal to 5 less than the number? Can someone help with this equation?

Question 96476: Write the verbal sentence as an equation.Then solve the equation
Ten plus 6 times a number is equal to 5 less than the number?
Can someone help with this equation?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember, with all word problems, common words like "is" and "less" stand for mathematic symbols such as = and -

So here is a list of keywords that translate to mathematic symbols (there are more common keywords, but this list should work for this problem):

Keyword(s)	What it really means	Mathematic Symbol or variable
times, of	Multiplication	*
plus, more	Addition	+
minus, less	Subtraction	-
is, is equal	Equality	=
a number, some number	Unknown variable	x (note: this is a letter and not the multiplication symbol)

note: when you say "5 less than 10", you're really saying "take 5 away from 10" or "10 subtract 5" which translates to 10-5. So it is important to reverse the order of the numbers. If you don't, then you'll end up with a completely different number.

So let's look at the sentence:

"Ten plus 6 times a number is equal to 5 less than the number"

Now pick out the keywords:

Ten plus 6 times a number is equal to 5 less than the number

Now replace the underlined keywords with their corresponding symbol or variable (use the table if you are in doubt)

10 + 6 * x = x-5

So our translated equation is

Now let's solve for x

Start with the given equation

Subtract 10 from both sides

Subtract x from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by 5 to isolate x

Divide

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Answer:
So our answer is

So the number is -3
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