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Solve 12x āˆ’ 12 = 132

The solution of 12x āˆ’ 12 = 132 is x = 12.

The lines y = 12x āˆ’ 12 and y = 132 meet at x = 126810121416186080100120140160180200x = 12y = 12x āˆ’ 12y = 132
The lines y = 12x āˆ’ 12 and y = 132 meet at x = 12. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.

    12xāˆ’12=13212x - 12 = 132
  2. 2

    Add 12 to both sides:

    12xāˆ’12+12=132+12 ⇒ 12x=14412x - 12 + 12 = 132 + 12 \ \Rightarrow\ 12x = 144
  3. 3

    Divide both sides by 12:

    12x12=14412 ⇒ x=12\frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    12ā‹…12āˆ’12=144āˆ’12=132āœ“12\cdot12 - 12 = 144 - 12 = 132 \checkmark
LaTeX source of the formulas on this page
\[ 12x - 12 = 132\ \Rightarrow\ x = 12 \]
\[ 12x - 12 = 132 \]
\[ 12x - 12 + 12 = 132 + 12 \ \Rightarrow\ 12x = 144 \]
\[ \frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12 \]
\[ 12\cdot12 - 12 = 144 - 12 = 132 \checkmark \]

Trying values of x in 12x āˆ’ 12 = 132

x12x āˆ’ 12Equals 132?
10108no
11120no
12132yes
13144no
14156no

Questions

What is x in 12x āˆ’ 12 = 132?

The solution of 12x āˆ’ 12 = 132 is x = 12.

How do you solve 12x āˆ’ 12 = 132?

Add 12 to both sides to get 12x = 144, then divide both sides by 12 to get x = 12.

How do I check the answer?

Replace x by 12: 12(12) āˆ’ 12 = 132, which is 132.

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