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Solve 11x + 12 = 199

The solution of 11x + 12 = 199 is x = 17.

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The lines y = 11x + 12 and y = 199 meet at x = 17121416182022120140160180200220240260x = 17y = 11x + 12y = 199
The lines y = 11x + 12 and y = 199 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.

    11x+12=19911x + 12 = 199
  2. 2

    Subtract 12 from both sides:

    11x+12−12=199−12 ⇒ 11x=18711x + 12 - 12 = 199 - 12 \ \Rightarrow\ 11x = 187
  3. 3

    Divide both sides by 11:

    11x11=18711 ⇒ x=17\frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    11⋅17+12=187+12=199✓11\cdot17 + 12 = 187 + 12 = 199 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 12 = 199\ \Rightarrow\ x = 17 \]
\[ 11x + 12 = 199 \]
\[ 11x + 12 - 12 = 199 - 12 \ \Rightarrow\ 11x = 187 \]
\[ \frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17 \]
\[ 11\cdot17 + 12 = 187 + 12 = 199 \checkmark \]

Trying values of x in 11x + 12 = 199

x11x + 12Equals 199?
15177no
16188no
17199yes
18210no
19221no

Questions

What is x in 11x + 12 = 199?

The solution of 11x + 12 = 199 is x = 17.

How do you solve 11x + 12 = 199?

Subtract 12 from both sides to get 11x = 187, then divide both sides by 11 to get x = 17.

How do I check the answer?

Replace x by 17: 11(17) + 12 = 199, which is 199.

Similar equations

    Solve 11x + 12 = 199: x = 17 (steps and check) | WordGPT