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Solve 2x + 6 = 12

The solution of 2x + 6 = 12 is x = 3.

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The lines y = 2x + 6 and y = 12 meet at x = 3-22468510152025x = 3y = 2x + 6y = 12
The lines y = 2x + 6 and y = 12 meet at x = 3. 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=122x + 6 = 12
  2. 2

    Subtract 6 from both sides:

    2x+6−6=12−6 ⇒ 2x=62x + 6 - 6 = 12 - 6 \ \Rightarrow\ 2x = 6
  3. 3

    Divide both sides by 2:

    2x2=62 ⇒ x=3\frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    2⋅3+6=6+6=12✓2\cdot3 + 6 = 6 + 6 = 12 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 12\ \Rightarrow\ x = 3 \]
\[ 2x + 6 = 12 \]
\[ 2x + 6 - 6 = 12 - 6 \ \Rightarrow\ 2x = 6 \]
\[ \frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3 \]
\[ 2\cdot3 + 6 = 6 + 6 = 12 \checkmark \]

Trying values of x in 2x + 6 = 12

x2x + 6Equals 12?
18no
210no
312yes
414no
516no

Questions

What is x in 2x + 6 = 12?

The solution of 2x + 6 = 12 is x = 3.

How do you solve 2x + 6 = 12?

Subtract 6 from both sides to get 2x = 6, then divide both sides by 2 to get x = 3.

How do I check the answer?

Replace x by 3: 2(3) + 6 = 12, which is 12.

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    Solve 2x + 6 = 12: x = 3 (steps and check) | WordGPT