Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
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Exercise 7 Page 119

Use inverse operations until you have fully isolated x.

x=- 9

Practice makes perfect
To solve the equation, we have to isolate x on one side using inverse operations. To begin with, we want to collect all of the constants on one side of the equation. The inverse operation to subtraction is addition, so to eliminate 31 we have to subtract 31 from both sides of the equation.
9x+31=- 23+3x
9x+31 - 31=- 23+3x - 31
9x=- 54+3x
Next, we have to eliminate the 3x from the right-hand side. Once more, we will subtract a term from both sides of the equation.
9x=- 54+3x
9x - 3x=- 54+3x - 3x
6x=- 54
Finally, we have to eliminate 6 from in front of x. Since multiplication and division are inverse operations, we need to divide both sides of the equation by 6.
6x=- 54
6x/6=- 54/6
x=- 9