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Solve 11x + 2 = 167

The solution of 11x + 2 = 167 is x = 15.

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The lines y = 11x + 2 and y = 167 meet at x = 15101214161820100120140160180200220240x = 15y = 11x + 2y = 167
The lines y = 11x + 2 and y = 167 meet at x = 15. 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.

    11x+2=16711x + 2 = 167
  2. 2

    Subtract 2 from both sides:

    11x+2−2=167−2 ⇒ 11x=16511x + 2 - 2 = 167 - 2 \ \Rightarrow\ 11x = 165
  3. 3

    Divide both sides by 11:

    11x11=16511 ⇒ x=15\frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    11⋅15+2=165+2=167✓11\cdot15 + 2 = 165 + 2 = 167 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 2 = 167\ \Rightarrow\ x = 15 \]
\[ 11x + 2 = 167 \]
\[ 11x + 2 - 2 = 167 - 2 \ \Rightarrow\ 11x = 165 \]
\[ \frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15 \]
\[ 11\cdot15 + 2 = 165 + 2 = 167 \checkmark \]

Trying values of x in 11x + 2 = 167

x11x + 2Equals 167?
13145no
14156no
15167yes
16178no
17189no

Questions

What is x in 11x + 2 = 167?

The solution of 11x + 2 = 167 is x = 15.

How do you solve 11x + 2 = 167?

Subtract 2 from both sides to get 11x = 165, then divide both sides by 11 to get x = 15.

How do I check the answer?

Replace x by 15: 11(15) + 2 = 167, which is 167.

Similar equations

    Solve 11x + 2 = 167: x = 15 (steps and check) | WordGPT