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Solve 11x + 10 = 186

The solution of 11x + 10 = 186 is x = 16.

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The lines y = 11x + 10 and y = 186 meet at x = 1610121416182022120140160180200220240260x = 16y = 11x + 10y = 186
The lines y = 11x + 10 and y = 186 meet at x = 16. 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+10=18611x + 10 = 186
  2. 2

    Subtract 10 from both sides:

    11x+10−10=186−10 ⇒ 11x=17611x + 10 - 10 = 186 - 10 \ \Rightarrow\ 11x = 176
  3. 3

    Divide both sides by 11:

    11x11=17611 ⇒ x=16\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    11⋅16+10=176+10=186✓11\cdot16 + 10 = 176 + 10 = 186 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 10 = 186\ \Rightarrow\ x = 16 \]
\[ 11x + 10 = 186 \]
\[ 11x + 10 - 10 = 186 - 10 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 + 10 = 176 + 10 = 186 \checkmark \]

Trying values of x in 11x + 10 = 186

x11x + 10Equals 186?
14164no
15175no
16186yes
17197no
18208no

Questions

What is x in 11x + 10 = 186?

The solution of 11x + 10 = 186 is x = 16.

How do you solve 11x + 10 = 186?

Subtract 10 from both sides to get 11x = 176, then divide both sides by 11 to get x = 16.

How do I check the answer?

Replace x by 16: 11(16) + 10 = 186, which is 186.

Similar equations

    Solve 11x + 10 = 186: x = 16 (steps and check) | WordGPT