Subject: Algebra 1

Name: Teresa
Who is asking: Student
Level: Secondary

Question:
I need to find the following equation.
4x - [2x -(3x - 2)] = 13

I thought the answer was -15 Would you show me how to work this problem?

Hi Teresa,

When you have brackets or parentheses in an algebra problem you need to work from the inside out. The left side of your expression is 4x - [2x - (3x - 2)] and hence you need to start with

3x - 2

Working my way out, one step at a time I get

-(3x - 2) = -3x + 2

then

2x -(3x - 2) = 2x -3x + 2 = -x + 2

and

- [2x -(3x - 2)] = - [-x + 2] = x - 2

and then finally

4x - [2x -(3x - 2)] = 4x + x - 2 = 5x - 2

Thus the equation that you have

4x - [2x -(3x - 2)] = 13

can be rewritten

5x - 2 = 13

Now add 2 to both sides to get

5x - 2 + 2 = 13 + 2 or
5x = 15

Lastly divide both sides by 5 and the solution is

5x/5 = 15/5 or
x = 3.
Cheers,
Penny
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