# If the sum of a number and eight is tripled, the result is two less than twice the number. How do you find the number?

May 31, 2018

$x = - 26$

With a word question you break it down into parts slowly building the equation (s) that model it.

#### Explanation:

Splitting the question down into its component parts.

If the sum of a number: ->........................" "x+?
and 8: $\to \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . \text{ } x + 8$
is trippled: $\to \ldots \ldots \ldots \ldots \ldots . \text{ } 3 \times \left(x + 8\right) \to 3 \left(x + 8\right)$
The result is: ->....................................." "3(x+8)=?
2 less than :->......................................" "3(x+8)=?-2
twice the number:$\to \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . . \text{ } 3 \left(x + 8\right) = 2 x - 2$
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Multiply out the brackets

$3 x + 24 = 2 x - 2$

$3 x - 2 x = - 2 - 24$

$x = - 26$