asked 45.6k views
0 votes
19. -5-(15x-1=2(7x-16)-x
it's multi-step equations using inverse operation

1 Answer

6 votes

Answer:

x = 1

Explanation:

You want the solution to the multi-step equation -5 -(15x -1) = 2(7x -16) -x.

Solution

It is often useful to simplify the equation first. Doing that gives ...

-5 -15x +1 = 14x -32 -x . . . . . . eliminate parentheses

-15x -4 = 13x -32 . . . . . . . . collect terms

28 = 28x . . . . . . . . . . . . add 15x+32

1 = x . . . . . . . . . . . . . divide by 28

__

Additional comment

The "inverse operations" used here are addition of 15x to cancel the subtraction of 15x, and addition of 32 to cancel the subtraction of 32. The inverse of subtraction is addition.

answered
User Chung Wu
by
8.2k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.