Subtract 5x-2 from - 3x+4

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, add the opposite of 5x. 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