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Solve 12x + 11 = 167

The solution of 12x + 11 = 167 is x = 13.

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The lines y = 12x + 11 and y = 167 meet at x = 1381012141618100120140160180200220240x = 13y = 12x + 11y = 167
The lines y = 12x + 11 and y = 167 meet at x = 13. 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=16712x + 11 = 167
  2. 2

    Subtract 11 from both sides:

    12x+11−11=167−11 ⇒ 12x=15612x + 11 - 11 = 167 - 11 \ \Rightarrow\ 12x = 156
  3. 3

    Divide both sides by 12:

    12x12=15612 ⇒ x=13\frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    12⋅13+11=156+11=167✓12\cdot13 + 11 = 156 + 11 = 167 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 11 = 167\ \Rightarrow\ x = 13 \]
\[ 12x + 11 = 167 \]
\[ 12x + 11 - 11 = 167 - 11 \ \Rightarrow\ 12x = 156 \]
\[ \frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13 \]
\[ 12\cdot13 + 11 = 156 + 11 = 167 \checkmark \]

Trying values of x in 12x + 11 = 167

x12x + 11Equals 167?
11143no
12155no
13167yes
14179no
15191no

Questions

What is x in 12x + 11 = 167?

The solution of 12x + 11 = 167 is x = 13.

How do you solve 12x + 11 = 167?

Subtract 11 from both sides to get 12x = 156, then divide both sides by 12 to get x = 13.

How do I check the answer?

Replace x by 13: 12(13) + 11 = 167, which is 167.

Similar equations

    Solve 12x + 11 = 167: x = 13 (steps and check) | WordGPT