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Solve 2x + 6 = 16

The solution of 2x + 6 = 16 is x = 5.

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The lines y = 2x + 6 and y = 16 meet at x = 524681051015202530x = 5y = 2x + 6y = 16
The lines y = 2x + 6 and y = 16 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+6=162x + 6 = 16
  2. 2

    Subtract 6 from both sides:

    2x+6−6=16−6 ⇒ 2x=102x + 6 - 6 = 16 - 6 \ \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+6=10+6=16✓2\cdot5 + 6 = 10 + 6 = 16 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 16\ \Rightarrow\ x = 5 \]
\[ 2x + 6 = 16 \]
\[ 2x + 6 - 6 = 16 - 6 \ \Rightarrow\ 2x = 10 \]
\[ \frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5 \]
\[ 2\cdot5 + 6 = 10 + 6 = 16 \checkmark \]

Trying values of x in 2x + 6 = 16

x2x + 6Equals 16?
312no
414no
516yes
618no
720no

Questions

What is x in 2x + 6 = 16?

The solution of 2x + 6 = 16 is x = 5.

How do you solve 2x + 6 = 16?

Subtract 6 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) + 6 = 16, which is 16.

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    Solve 2x + 6 = 16: x = 5 (steps and check) | WordGPT