Question

Solve the equation
−​5x−9=−(x−27)

Answer 1

x=-9

Explanation:

Step 1: Simplify both sides of the equation

−5x−9=−(x−27)

−5x+−9=−x+27(Distribute)

−5x−9=−x+27

Step 2: Add x to both sides.

−5x−9+x=−x+27+x

−4x−9=27

Step 3: Add 9 to both sides.

−4x−9+9=27+9

−4x=36

Step 4: Divide both sides by -4.

−4x

−4

=

36

−4

Answer 2

`x=-9`

Explanation:

Start by simplifying the right side of the equation:

`-5x-9=-(x-27)`

Note the that when you have a negative sign before terms in a parentheses, you are essentially multiplying those terms by -1. Therefore:

`-5x-9=-1(x-27)\\\text{Distribute the -1 to each term in the parentheses}\\-5x-9=-x+27\\\text{Add 9 to both sides}\\-5x=-x+36\\\text{Add x to both sides}\\-4x=36\\\text{Divide both sides by -4}\\x=-9`