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Solve 11x + 14 = 190

The solution of 11x + 14 = 190 is x = 16.

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The lines y = 11x + 14 and y = 190 meet at x = 1610121416182022120140160180200220240260x = 16y = 11x + 14y = 190
The lines y = 11x + 14 and y = 190 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+14=19011x + 14 = 190
  2. 2

    Subtract 14 from both sides:

    11x+14−14=190−14 ⇒ 11x=17611x + 14 - 14 = 190 - 14 \ \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+14=176+14=190✓11\cdot16 + 14 = 176 + 14 = 190 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 14 = 190\ \Rightarrow\ x = 16 \]
\[ 11x + 14 = 190 \]
\[ 11x + 14 - 14 = 190 - 14 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 + 14 = 176 + 14 = 190 \checkmark \]

Trying values of x in 11x + 14 = 190

x11x + 14Equals 190?
14168no
15179no
16190yes
17201no
18212no

Questions

What is x in 11x + 14 = 190?

The solution of 11x + 14 = 190 is x = 16.

How do you solve 11x + 14 = 190?

Subtract 14 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) + 14 = 190, which is 190.

Similar equations

    Solve 11x + 14 = 190: x = 16 (steps and check) | WordGPT