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Solve 12x āˆ’ 12 = 0

The solution of 12x āˆ’ 12 = 0 is x = 1.

The lines y = 12x āˆ’ 12 and y = 0 meet at x = 1-4-2246-80-60-40-2020406080x = 1y = 12x āˆ’ 12y = 0
The lines y = 12x āˆ’ 12 and y = 0 meet at x = 1. 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=012x - 12 = 0
  2. 2

    Add 12 to both sides:

    12xāˆ’12+12=0+12 ⇒ 12x=1212x - 12 + 12 = 0 + 12 \ \Rightarrow\ 12x = 12
  3. 3

    Divide both sides by 12:

    12x12=1212 ⇒ x=1\frac{12x}{12} = \frac{12}{12} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    12ā‹…1āˆ’12=12āˆ’12=0āœ“12\cdot1 - 12 = 12 - 12 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 12x - 12 = 0\ \Rightarrow\ x = 1 \]
\[ 12x - 12 = 0 \]
\[ 12x - 12 + 12 = 0 + 12 \ \Rightarrow\ 12x = 12 \]
\[ \frac{12x}{12} = \frac{12}{12} \ \Rightarrow\ x = 1 \]
\[ 12\cdot1 - 12 = 12 - 12 = 0 \checkmark \]

Trying values of x in 12x āˆ’ 12 = 0

x12x āˆ’ 12Equals 0?
-1-24no
0-12no
10yes
212no
324no

Questions

What is x in 12x āˆ’ 12 = 0?

The solution of 12x āˆ’ 12 = 0 is x = 1.

How do you solve 12x āˆ’ 12 = 0?

Add 12 to both sides to get 12x = 12, then divide both sides by 12 to get x = 1.

How do I check the answer?

Replace x by 1: 12(1) āˆ’ 12 = 0, which is 0.

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