Distribute and combine like trems. show your work -7(2× - 4)-7=3(× - 5) + 4x -9

  -14x +21 = 7x -24

Step-by-step explanation:

We assume your use of the multiplication symbol in this problem (×) is intended to represent the variable x.

The distributive property tells you that the factor outside parentheses multiplies each of the terms inside parentheses:

  a(b+c) = ab+ac

Your equation can be simplified as ...

  -7(2x -4) -7 = 3(x -5) +4x -9 . . . . given

  -7(2x) +(-7)(-4) -7 = 3x +3(-5) +4x -9 . . . . use the distributive property

  -14x +28 -7 = 3x -15 +4x -9 . . . . . . . . . . . carry out the multiplication

  -14x +21 = x(3+4) -(15 +9) . . . . identify and group like terms on the right*

  -14x +21 = 7x -24 . . . . . . . . . . do the arithmetic

* note that the distributive property can also be used to combine terms:

  3x +4x = x(3+4) = 7x

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