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Question:

Some basic algebra - Simplify (i.e remove the brackets)?

How would you simplify (6x+4) + (3-5x) - (3x-5)x represents the letter NOT the multiplication signAnd: (4x-3) + (x-7) - 5An explanation of how it is done best answer and 5 stars.

Answer:

Okay, so first step is to get rid of the brackets. But, you must remember that the sign before the brackets, effects what's in the brackets. Ex. - (5x - 3) becomes --5x + 3 because having the - before the bracket, is saying multiply what's in the bracket by -1. (6x+4) + (3-5x) - (3x-5) -6x + 4 + 3 - 5x - 3x + 5 collect like terms (add x's and numbers) --2x + 12 (4x-3) + (x-7) - 5 -4x - 3 + x - 7 - 5 -5x - 15 Hope that helps!
6x +4 + 3 - 5x - 3x + 5 ( because + multiplied by + equals + , and + mult by - equals - ) Now gather all the x together: 6x - 8x + 12 -2x +12
(6x+4) + (3-5x) - (3x-5) 6x+4 + 3-5x - 3x +5 [ notice -(-5) + 5 ] now group terms with x and the digits separately. 6x - 5x -3x +4+3+5 -2x + 12 ------------------------------ (4x-3) + (x-7) - 5 4x-3 +x-7 - 5 now group terms with x and the digits separately. 4x + x -3-7-5 5x - 15 Good Luck.
6x+4+3-5x-3x+5 -2x+12 4x-3+x-7-5 5x-15 Open the bracket. If there is + sign before the bracket then the signs inside the bracket remain the same. And if there is - sign before the bracket then the signs inside the bracket are reversed. 3-(2-x) 3-2+x
Combine the like terms: 1st case: 6x-5x-3x -2x and 4+3-(-5)12 (subtracting -5 is the same as adding 5). So the simplified term is 12-2x 2nd case: 4x+x5x and (-3)+(-7)-5-15. So the simplified term is 5x-15

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