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Solve 2x + 6 = 14

The solution of 2x + 6 = 14 is x = 4.

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The lines y = 2x + 6 and y = 14 meet at x = 4-2246810510152025x = 4y = 2x + 6y = 14
The lines y = 2x + 6 and y = 14 meet at x = 4. 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+6=142x + 6 = 14
  2. 2

    Subtract 6 from both sides:

    2x+6−6=14−6 ⇒ 2x=82x + 6 - 6 = 14 - 6 \ \Rightarrow\ 2x = 8
  3. 3

    Divide both sides by 2:

    2x2=82 ⇒ x=4\frac{2x}{2} = \frac{8}{2} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    2⋅4+6=8+6=14✓2\cdot4 + 6 = 8 + 6 = 14 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 14\ \Rightarrow\ x = 4 \]
\[ 2x + 6 = 14 \]
\[ 2x + 6 - 6 = 14 - 6 \ \Rightarrow\ 2x = 8 \]
\[ \frac{2x}{2} = \frac{8}{2} \ \Rightarrow\ x = 4 \]
\[ 2\cdot4 + 6 = 8 + 6 = 14 \checkmark \]

Trying values of x in 2x + 6 = 14

x2x + 6Equals 14?
210no
312no
414yes
516no
618no

Questions

What is x in 2x + 6 = 14?

The solution of 2x + 6 = 14 is x = 4.

How do you solve 2x + 6 = 14?

Subtract 6 from both sides to get 2x = 8, then divide both sides by 2 to get x = 4.

How do I check the answer?

Replace x by 4: 2(4) + 6 = 14, which is 14.

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    Solve 2x + 6 = 14: x = 4 (steps and check) | WordGPT