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Solve 10x + 11 = 181

The solution of 10x + 11 = 181 is x = 17.

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The lines y = 10x + 11 and y = 181 meet at x = 17121416182022120140160180200220240x = 17y = 10x + 11y = 181
The lines y = 10x + 11 and y = 181 meet at x = 17. 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.

    10x+11=18110x + 11 = 181
  2. 2

    Subtract 11 from both sides:

    10x+11−11=181−11 ⇒ 10x=17010x + 11 - 11 = 181 - 11 \ \Rightarrow\ 10x = 170
  3. 3

    Divide both sides by 10:

    10x10=17010 ⇒ x=17\frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    10⋅17+11=170+11=181✓10\cdot17 + 11 = 170 + 11 = 181 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 11 = 181\ \Rightarrow\ x = 17 \]
\[ 10x + 11 = 181 \]
\[ 10x + 11 - 11 = 181 - 11 \ \Rightarrow\ 10x = 170 \]
\[ \frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17 \]
\[ 10\cdot17 + 11 = 170 + 11 = 181 \checkmark \]

Trying values of x in 10x + 11 = 181

x10x + 11Equals 181?
15161no
16171no
17181yes
18191no
19201no

Questions

What is x in 10x + 11 = 181?

The solution of 10x + 11 = 181 is x = 17.

How do you solve 10x + 11 = 181?

Subtract 11 from both sides to get 10x = 170, then divide both sides by 10 to get x = 17.

How do I check the answer?

Replace x by 17: 10(17) + 11 = 181, which is 181.

Similar equations

    Solve 10x + 11 = 181: x = 17 (steps and check) | WordGPT