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Solve 3x + 14 = 2

The solution of 3x + 14 = 2 is x = -4.

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The lines y = 3x + 14 and y = 2 meet at x = -4-10-8-6-4-22-15-10-55101520x = -4y = 3x + 14y = 2
The lines y = 3x + 14 and y = 2 meet at x = -4. 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.

    3x+14=23x + 14 = 2
  2. 2

    Subtract 14 from both sides:

    3x+14āˆ’14=2āˆ’14Ā ā‡’Ā 3x=āˆ’123x + 14 - 14 = 2 - 14 \ \Rightarrow\ 3x = -12
  3. 3

    Divide both sides by 3:

    3x3=āˆ’123Ā ā‡’Ā x=āˆ’4\frac{3x}{3} = \frac{-12}{3} \ \Rightarrow\ x = -4
  4. 4

    Check: put x = -4 back into the equation.

    3ā‹…(āˆ’4)+14=āˆ’12+14=2āœ“3\cdot(-4) + 14 = -12 + 14 = 2 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 14 = 2\ \Rightarrow\ x = -4 \]
\[ 3x + 14 = 2 \]
\[ 3x + 14 - 14 = 2 - 14 \ \Rightarrow\ 3x = -12 \]
\[ \frac{3x}{3} = \frac{-12}{3} \ \Rightarrow\ x = -4 \]
\[ 3\cdot(-4) + 14 = -12 + 14 = 2 \checkmark \]

Trying values of x in 3x + 14 = 2

x3x + 14Equals 2?
-6-4no
-5-1no
-42yes
-35no
-28no

Questions

What is x in 3x + 14 = 2?

The solution of 3x + 14 = 2 is x = -4.

How do you solve 3x + 14 = 2?

Subtract 14 from both sides to get 3x = -12, then divide both sides by 3 to get x = -4.

How do I check the answer?

Replace x by -4: 3(-4) + 14 = 2, which is 2.

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    Solve 3x + 14 = 2: x = -4 (steps and check) | WordGPT