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Solve 2x + 14 = 2

The solution of 2x + 14 = 2 is x = -6.

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The lines y = 2x + 14 and y = 2 meet at x = -6-12-10-8-6-4-2-10-551015x = -6y = 2x + 14y = 2
The lines y = 2x + 14 and y = 2 meet at x = -6. 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.

    2x+14=22x + 14 = 2
  2. 2

    Subtract 14 from both sides:

    2x+14−14=2−14 ⇒ 2x=−122x + 14 - 14 = 2 - 14 \ \Rightarrow\ 2x = -12
  3. 3

    Divide both sides by 2:

    2x2=−122 ⇒ x=−6\frac{2x}{2} = \frac{-12}{2} \ \Rightarrow\ x = -6
  4. 4

    Check: put x = -6 back into the equation.

    2⋅(−6)+14=−12+14=2✓2\cdot(-6) + 14 = -12 + 14 = 2 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 2\ \Rightarrow\ x = -6 \]
\[ 2x + 14 = 2 \]
\[ 2x + 14 - 14 = 2 - 14 \ \Rightarrow\ 2x = -12 \]
\[ \frac{2x}{2} = \frac{-12}{2} \ \Rightarrow\ x = -6 \]
\[ 2\cdot(-6) + 14 = -12 + 14 = 2 \checkmark \]

Trying values of x in 2x + 14 = 2

x2x + 14Equals 2?
-8-2no
-70no
-62yes
-54no
-46no

Questions

What is x in 2x + 14 = 2?

The solution of 2x + 14 = 2 is x = -6.

How do you solve 2x + 14 = 2?

Subtract 14 from both sides to get 2x = -12, then divide both sides by 2 to get x = -6.

How do I check the answer?

Replace x by -6: 2(-6) + 14 = 2, which is 2.

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    Solve 2x + 14 = 2: x = -6 (steps and check) | WordGPT