Two more than four times a number minus 3 is the same as 12 times the number plus 3. Find the...

Question:

Two more than four times a number minus 3 is the same as 12 times the number plus 3. Find the number.

Translating Words to Algebraic Expressions:-

In Mathematics an algebraic expression is made up of variables and constants along with algebraic operations like addition,subtraction ,if we want to translate word in to algebraic expression ,we have to memorize different keywords like minus ,reduce,twice,sum etc.

Example:-

The phrase is a plus b where plus is keyword to perform addition and if we want to translate 'a plus b' in algebraic expression then,

( a plus b)= (a+b)

Answer and Explanation:

Let the number be x

So According to question our expression is formed as (2+ 4x-3)=(12x+3)

Now,We have to simplify this expression to get the value of number which is x

{eq}Then,(4x-1)=(12x+3)\\ Or,\;\;\;\; (12x-4x)=(-1-3)\\ Or,\;\;\;\; (8x=-4)\\ Or,\;\;\;\;\; x=(\frac{-1}{2})\\ Hence,\;\;\; The\; Required\; Answer \;is \;x=\frac{-1}{2} {/eq}


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Translating Words to Algebraic Expressions

from Algebra I: High School

Chapter 8 / Lesson 17
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