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What does x = in this equation? 7x-2+2x+14=33

1 Answer

6 votes

Answer:

x = 7/3

Explanation:

First, combine like terms:

7x + 2x - 2 + 14 = 33

(7x + 2x) + (14 - 2) = 33

9x + 12 = 33

Isolate the variable, note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides:

9x + 12 (-12) = 33 (-12)

9x = 33 - 12

9x = 21

Next, divide 9 from both sides:

(9x)/9 = (21)/9

Simplify. Divide common factors:

x = (21/9)/(3/3) = 7/3

x = 7/3

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