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Solve 2x + 2 = 14

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

The lines y = 2x + 2 and y = 14 meet at x = 624681012510152025x = 6y = 2x + 2y = 14
The lines y = 2x + 2 and y = 14 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+2=142x + 2 = 14
  2. 2

    Subtract 2 from both sides:

    2x+2−2=14−2 ⇒ 2x=122x + 2 - 2 = 14 - 2 \ \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+2=12+2=14✓2\cdot6 + 2 = 12 + 2 = 14 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 2 = 14\ \Rightarrow\ x = 6 \]
\[ 2x + 2 = 14 \]
\[ 2x + 2 - 2 = 14 - 2 \ \Rightarrow\ 2x = 12 \]
\[ \frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6 \]
\[ 2\cdot6 + 2 = 12 + 2 = 14 \checkmark \]

Trying values of x in 2x + 2 = 14

x2x + 2Equals 14?
410no
512no
614yes
716no
818no

Questions

What is x in 2x + 2 = 14?

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

How do you solve 2x + 2 = 14?

Subtract 2 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) + 2 = 14, which is 14.

Similar equations

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