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Solve 10x + 1 = 181

The solution of 10x + 1 = 181 is x = 18.

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The lines y = 10x + 1 and y = 181 meet at x = 1812141618202224120140160180200220240x = 18y = 10x + 1y = 181
The lines y = 10x + 1 and y = 181 meet at x = 18. 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+1=18110x + 1 = 181
  2. 2

    Subtract 1 from both sides:

    10x+1−1=181−1 ⇒ 10x=18010x + 1 - 1 = 181 - 1 \ \Rightarrow\ 10x = 180
  3. 3

    Divide both sides by 10:

    10x10=18010 ⇒ x=18\frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    10⋅18+1=180+1=181✓10\cdot18 + 1 = 180 + 1 = 181 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 1 = 181\ \Rightarrow\ x = 18 \]
\[ 10x + 1 = 181 \]
\[ 10x + 1 - 1 = 181 - 1 \ \Rightarrow\ 10x = 180 \]
\[ \frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18 \]
\[ 10\cdot18 + 1 = 180 + 1 = 181 \checkmark \]

Trying values of x in 10x + 1 = 181

x10x + 1Equals 181?
16161no
17171no
18181yes
19191no
20201no

Questions

What is x in 10x + 1 = 181?

The solution of 10x + 1 = 181 is x = 18.

How do you solve 10x + 1 = 181?

Subtract 1 from both sides to get 10x = 180, then divide both sides by 10 to get x = 18.

How do I check the answer?

Replace x by 18: 10(18) + 1 = 181, which is 181.

Similar equations

    Solve 10x + 1 = 181: x = 18 (steps and check) | WordGPT