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Solve 2x + 14 = 10

The solution of 2x + 14 = 10 is x = -2.

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The lines y = 2x + 14 and y = 10 meet at x = -2-8-6-4-2245101520x = -2y = 2x + 14y = 10
The lines y = 2x + 14 and y = 10 meet at x = -2. 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=102x + 14 = 10
  2. 2

    Subtract 14 from both sides:

    2x+14−14=10−14 ⇒ 2x=−42x + 14 - 14 = 10 - 14 \ \Rightarrow\ 2x = -4
  3. 3

    Divide both sides by 2:

    2x2=−42 ⇒ x=−2\frac{2x}{2} = \frac{-4}{2} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

    2⋅(−2)+14=−4+14=10✓2\cdot(-2) + 14 = -4 + 14 = 10 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 10\ \Rightarrow\ x = -2 \]
\[ 2x + 14 = 10 \]
\[ 2x + 14 - 14 = 10 - 14 \ \Rightarrow\ 2x = -4 \]
\[ \frac{2x}{2} = \frac{-4}{2} \ \Rightarrow\ x = -2 \]
\[ 2\cdot(-2) + 14 = -4 + 14 = 10 \checkmark \]

Trying values of x in 2x + 14 = 10

x2x + 14Equals 10?
-46no
-38no
-210yes
-112no
014no

Questions

What is x in 2x + 14 = 10?

The solution of 2x + 14 = 10 is x = -2.

How do you solve 2x + 14 = 10?

Subtract 14 from both sides to get 2x = -4, then divide both sides by 2 to get x = -2.

How do I check the answer?

Replace x by -2: 2(-2) + 14 = 10, which is 10.

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