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Solve 11x + 14 = 3

The solution of 11x + 14 = 3 is x = -1.

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The lines y = 11x + 14 and y = 3 meet at x = -1-6-4-224-60-40-2020406080x = -1y = 11x + 14y = 3
The lines y = 11x + 14 and y = 3 meet at x = -1. 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=311x + 14 = 3
  2. 2

    Subtract 14 from both sides:

    11x+14−14=3−14 ⇒ 11x=−1111x + 14 - 14 = 3 - 14 \ \Rightarrow\ 11x = -11
  3. 3

    Divide both sides by 11:

    11x11=−1111 ⇒ x=−1\frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    11⋅(−1)+14=−11+14=3✓11\cdot(-1) + 14 = -11 + 14 = 3 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 14 = 3\ \Rightarrow\ x = -1 \]
\[ 11x + 14 = 3 \]
\[ 11x + 14 - 14 = 3 - 14 \ \Rightarrow\ 11x = -11 \]
\[ \frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1 \]
\[ 11\cdot(-1) + 14 = -11 + 14 = 3 \checkmark \]

Trying values of x in 11x + 14 = 3

x11x + 14Equals 3?
-3-19no
-2-8no
-13yes
014no
125no

Questions

What is x in 11x + 14 = 3?

The solution of 11x + 14 = 3 is x = -1.

How do you solve 11x + 14 = 3?

Subtract 14 from both sides to get 11x = -11, then divide both sides by 11 to get x = -1.

How do I check the answer?

Replace x by -1: 11(-1) + 14 = 3, which is 3.

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    Solve 11x + 14 = 3: x = -1 (steps and check) | WordGPT