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Solve 2x + 12 = 24

The solution of 2x + 12 = 24 is x = 6.

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The lines y = 2x + 12 and y = 24 meet at x = 624681012101520253035x = 6y = 2x + 12y = 24
The lines y = 2x + 12 and y = 24 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+12=242x + 12 = 24
  2. 2

    Subtract 12 from both sides:

    2x+12−12=24−12 ⇒ 2x=122x + 12 - 12 = 24 - 12 \ \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+12=12+12=24✓2\cdot6 + 12 = 12 + 12 = 24 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 12 = 24\ \Rightarrow\ x = 6 \]
\[ 2x + 12 = 24 \]
\[ 2x + 12 - 12 = 24 - 12 \ \Rightarrow\ 2x = 12 \]
\[ \frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6 \]
\[ 2\cdot6 + 12 = 12 + 12 = 24 \checkmark \]

Trying values of x in 2x + 12 = 24

x2x + 12Equals 24?
420no
522no
624yes
726no
828no

Questions

What is x in 2x + 12 = 24?

The solution of 2x + 12 = 24 is x = 6.

How do you solve 2x + 12 = 24?

Subtract 12 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) + 12 = 24, which is 24.

Similar equations

    Solve 2x + 12 = 24: x = 6 (steps and check) | WordGPT