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Solve 2x + 12 = 42

The solution of 2x + 12 = 42 is x = 15.

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The lines y = 2x + 12 and y = 42 meet at x = 15101214161820303540455055x = 15y = 2x + 12y = 42
The lines y = 2x + 12 and y = 42 meet at x = 15. 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=422x + 12 = 42
  2. 2

    Subtract 12 from both sides:

    2x+12−12=42−12 ⇒ 2x=302x + 12 - 12 = 42 - 12 \ \Rightarrow\ 2x = 30
  3. 3

    Divide both sides by 2:

    2x2=302 ⇒ x=15\frac{2x}{2} = \frac{30}{2} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    2⋅15+12=30+12=42✓2\cdot15 + 12 = 30 + 12 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 12 = 42\ \Rightarrow\ x = 15 \]
\[ 2x + 12 = 42 \]
\[ 2x + 12 - 12 = 42 - 12 \ \Rightarrow\ 2x = 30 \]
\[ \frac{2x}{2} = \frac{30}{2} \ \Rightarrow\ x = 15 \]
\[ 2\cdot15 + 12 = 30 + 12 = 42 \checkmark \]

Trying values of x in 2x + 12 = 42

x2x + 12Equals 42?
1338no
1440no
1542yes
1644no
1746no

Questions

What is x in 2x + 12 = 42?

The solution of 2x + 12 = 42 is x = 15.

How do you solve 2x + 12 = 42?

Subtract 12 from both sides to get 2x = 30, then divide both sides by 2 to get x = 15.

How do I check the answer?

Replace x by 15: 2(15) + 12 = 42, which is 42.

Similar equations

    Solve 2x + 12 = 42: x = 15 (steps and check) | WordGPT