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Solve 2x + 12 = 6

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

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The lines y = 2x + 12 and y = 6 meet at x = -3-8-6-4-22-55101520x = -3y = 2x + 12y = 6
The lines y = 2x + 12 and y = 6 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+12=62x + 12 = 6
  2. 2

    Subtract 12 from both sides:

    2x+12−12=6−12 ⇒ 2x=−62x + 12 - 12 = 6 - 12 \ \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)+12=−6+12=6✓2\cdot(-3) + 12 = -6 + 12 = 6 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 12 = 6\ \Rightarrow\ x = -3 \]
\[ 2x + 12 = 6 \]
\[ 2x + 12 - 12 = 6 - 12 \ \Rightarrow\ 2x = -6 \]
\[ \frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3 \]
\[ 2\cdot(-3) + 12 = -6 + 12 = 6 \checkmark \]

Trying values of x in 2x + 12 = 6

x2x + 12Equals 6?
-52no
-44no
-36yes
-28no
-110no

Questions

What is x in 2x + 12 = 6?

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

How do you solve 2x + 12 = 6?

Subtract 12 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) + 12 = 6, which is 6.

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