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Solve 11x + 7 = 172

The solution of 11x + 7 = 172 is x = 15.

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The lines y = 11x + 7 and y = 172 meet at x = 15101214161820100120140160180200220240x = 15y = 11x + 7y = 172
The lines y = 11x + 7 and y = 172 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+7=17211x + 7 = 172
  2. 2

    Subtract 7 from both sides:

    11x+7−7=172−7 ⇒ 11x=16511x + 7 - 7 = 172 - 7 \ \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+7=165+7=172✓11\cdot15 + 7 = 165 + 7 = 172 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 7 = 172\ \Rightarrow\ x = 15 \]
\[ 11x + 7 = 172 \]
\[ 11x + 7 - 7 = 172 - 7 \ \Rightarrow\ 11x = 165 \]
\[ \frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15 \]
\[ 11\cdot15 + 7 = 165 + 7 = 172 \checkmark \]

Trying values of x in 11x + 7 = 172

x11x + 7Equals 172?
13150no
14161no
15172yes
16183no
17194no

Questions

What is x in 11x + 7 = 172?

The solution of 11x + 7 = 172 is x = 15.

How do you solve 11x + 7 = 172?

Subtract 7 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) + 7 = 172, which is 172.

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    Solve 11x + 7 = 172: x = 15 (steps and check) | WordGPT