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Solve 12x + 11 = 23

The solution of 12x + 11 = 23 is x = 1.

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The lines y = 12x + 11 and y = 23 meet at x = 1-4-2246-60-40-2020406080100x = 1y = 12x + 11y = 23
The lines y = 12x + 11 and y = 23 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 addition, then the multiplication.

    12x+11=2312x + 11 = 23
  2. 2

    Subtract 11 from both sides:

    12x+11−11=23−11 ⇒ 12x=1212x + 11 - 11 = 23 - 11 \ \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.

    12⋅1+11=12+11=23✓12\cdot1 + 11 = 12 + 11 = 23 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 11 = 23\ \Rightarrow\ x = 1 \]
\[ 12x + 11 = 23 \]
\[ 12x + 11 - 11 = 23 - 11 \ \Rightarrow\ 12x = 12 \]
\[ \frac{12x}{12} = \frac{12}{12} \ \Rightarrow\ x = 1 \]
\[ 12\cdot1 + 11 = 12 + 11 = 23 \checkmark \]

Trying values of x in 12x + 11 = 23

x12x + 11Equals 23?
-1-1no
011no
123yes
235no
347no

Questions

What is x in 12x + 11 = 23?

The solution of 12x + 11 = 23 is x = 1.

How do you solve 12x + 11 = 23?

Subtract 11 from 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) + 11 = 23, which is 23.

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    Solve 12x + 11 = 23: x = 1 (steps and check) | WordGPT