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Solve 2x + 14 = 4

The solution of 2x + 14 = 4 is x = -5.

The lines y = 2x + 14 and y = 4 meet at x = -5-10-8-6-4-2-10-551015x = -5y = 2x + 14y = 4
The lines y = 2x + 14 and y = 4 meet at x = -5. 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=42x + 14 = 4
  2. 2

    Subtract 14 from both sides:

    2x+14−14=4−14 ⇒ 2x=−102x + 14 - 14 = 4 - 14 \ \Rightarrow\ 2x = -10
  3. 3

    Divide both sides by 2:

    2x2=−102 ⇒ x=−5\frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5
  4. 4

    Check: put x = -5 back into the equation.

    2⋅(−5)+14=−10+14=4✓2\cdot(-5) + 14 = -10 + 14 = 4 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 4\ \Rightarrow\ x = -5 \]
\[ 2x + 14 = 4 \]
\[ 2x + 14 - 14 = 4 - 14 \ \Rightarrow\ 2x = -10 \]
\[ \frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5 \]
\[ 2\cdot(-5) + 14 = -10 + 14 = 4 \checkmark \]

Trying values of x in 2x + 14 = 4

x2x + 14Equals 4?
-70no
-62no
-54yes
-46no
-38no

Questions

What is x in 2x + 14 = 4?

The solution of 2x + 14 = 4 is x = -5.

How do you solve 2x + 14 = 4?

Subtract 14 from both sides to get 2x = -10, then divide both sides by 2 to get x = -5.

How do I check the answer?

Replace x by -5: 2(-5) + 14 = 4, which is 4.

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    Solve 2x + 14 = 4: x = -5 (steps and check) | WordGPT