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Solve 2x + 14 = 8

The solution of 2x + 14 = 8 is x = -3.

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The lines y = 2x + 14 and y = 8 meet at x = -3-8-6-4-22-55101520x = -3y = 2x + 14y = 8
The lines y = 2x + 14 and y = 8 meet at x = -3. 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=82x + 14 = 8
  2. 2

    Subtract 14 from both sides:

    2x+14−14=8−14 ⇒ 2x=−62x + 14 - 14 = 8 - 14 \ \Rightarrow\ 2x = -6
  3. 3

    Divide both sides by 2:

    2x2=−62 ⇒ x=−3\frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3
  4. 4

    Check: put x = -3 back into the equation.

    2⋅(−3)+14=−6+14=8✓2\cdot(-3) + 14 = -6 + 14 = 8 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 8\ \Rightarrow\ x = -3 \]
\[ 2x + 14 = 8 \]
\[ 2x + 14 - 14 = 8 - 14 \ \Rightarrow\ 2x = -6 \]
\[ \frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3 \]
\[ 2\cdot(-3) + 14 = -6 + 14 = 8 \checkmark \]

Trying values of x in 2x + 14 = 8

x2x + 14Equals 8?
-54no
-46no
-38yes
-210no
-112no

Questions

What is x in 2x + 14 = 8?

The solution of 2x + 14 = 8 is x = -3.

How do you solve 2x + 14 = 8?

Subtract 14 from both sides to get 2x = -6, then divide both sides by 2 to get x = -3.

How do I check the answer?

Replace x by -3: 2(-3) + 14 = 8, which is 8.

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    Solve 2x + 14 = 8: x = -3 (steps and check) | WordGPT