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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

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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.

User Chung Wu
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