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Solve 11x + 14 = 212

The solution of 11x + 14 = 212 is x = 18.

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The lines y = 11x + 14 and y = 212 meet at x = 1812141618202224140160180200220240260280x = 18y = 11x + 14y = 212
The lines y = 11x + 14 and y = 212 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.

    11x+14=21211x + 14 = 212
  2. 2

    Subtract 14 from both sides:

    11x+14−14=212−14 ⇒ 11x=19811x + 14 - 14 = 212 - 14 \ \Rightarrow\ 11x = 198
  3. 3

    Divide both sides by 11:

    11x11=19811 ⇒ x=18\frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    11⋅18+14=198+14=212✓11\cdot18 + 14 = 198 + 14 = 212 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 14 = 212\ \Rightarrow\ x = 18 \]
\[ 11x + 14 = 212 \]
\[ 11x + 14 - 14 = 212 - 14 \ \Rightarrow\ 11x = 198 \]
\[ \frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18 \]
\[ 11\cdot18 + 14 = 198 + 14 = 212 \checkmark \]

Trying values of x in 11x + 14 = 212

x11x + 14Equals 212?
16190no
17201no
18212yes
19223no
20234no

Questions

What is x in 11x + 14 = 212?

The solution of 11x + 14 = 212 is x = 18.

How do you solve 11x + 14 = 212?

Subtract 14 from both sides to get 11x = 198, then divide both sides by 11 to get x = 18.

How do I check the answer?

Replace x by 18: 11(18) + 14 = 212, which is 212.

Similar equations

    Solve 11x + 14 = 212: x = 18 (steps and check) | WordGPT