Simplify Algebraic Expressions - when to change postive and negatives

label Algebra
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Hi I would like to know the exact way to simplify an algebraic expression emphasizing on when and why I change a portion of it from a positive to a negative or vice versa?

Examples:

5x + 4 - 3 + 2 x 7

or

3 (3x + 5) - (7 +6 - 2x)

May 20th, 2015

BODMAS will be used

Brackets, Of, Division, Multiplication, Addition, Substraction


Examples:

5x + 4 - 3 + 2 x 7

Brackets, Of, Division, Multiplication, Addition, Substraction

5x+4-3+14

then addition

5x+4-3+14= 5x+4-17

then substraction

5x+4-17= 5x-13

5x-13

or

3 (3x + 5) - (7 +6 - 2x)

work with brackets first

3 (3x + 5) - (7 +6 - 2x)

9x+15-7-6-2x

9x+15-13-2x

9x-2x+15-13

7x+2

May 20th, 2015

Ok thank you. The most important part of my question that I need help with though us understanding when and why you changed - (7+6 - 2x) into - 7 - 6 - 2x. How did you know to change the + into a - between 7 and 6 but NOT to change - 2x into + 2x?

May 20th, 2015

3 (3x + 5) - (7 +6 - 2x)

9x+15-7-6+2x

9x+15-13+2x

11x+15-13

sorry, it was supposed to change to +correction for that



May 20th, 2015

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