Answer:
6 - 8x
Step-by-step explanation:
The question is:
(-3x + 4) - (5x - 2)
When you have two numbers inside a bracket, it is called a binomial. (Here we have two binomials). When you subtract a binomial, you "add the opposite".
To get rid of the second pair of brackets, <u>add the opposite of 5x</u>. Since 5x is positive, add negative 5x.
(-3x + 4) - (5x - 2)
= (-3x + 4) +-5x -(- 2) A positive and a negative make a negative
= (-3x + 4) - 5x -(- 2)
Add the opposite of -2. The opposite of -2 is positive 2.
= (-3x + 4) - 5x -(- 2)
= (-3x + 4) - 5x ++ 2 Two positives make a positive
= (-3x + 4) - 5x + 2
Now you can remove all brackets.
= -3x + 4 - 5x + 2 Collect like terms
= 4 + 2 - 3x - 5x Rearranged so you can see like terms
= 6 - 8x Final answer
