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Solve 12x + 6 = 42

The solution of 12x + 6 = 42 is x = 3.

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The lines y = 12x + 6 and y = 42 meet at x = 3-22468-40-2020406080100120x = 3y = 12x + 6y = 42
The lines y = 12x + 6 and y = 42 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.

    12x+6=4212x + 6 = 42
  2. 2

    Subtract 6 from both sides:

    12x+6−6=42−6 ⇒ 12x=3612x + 6 - 6 = 42 - 6 \ \Rightarrow\ 12x = 36
  3. 3

    Divide both sides by 12:

    12x12=3612 ⇒ x=3\frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    12⋅3+6=36+6=42✓12\cdot3 + 6 = 36 + 6 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 6 = 42\ \Rightarrow\ x = 3 \]
\[ 12x + 6 = 42 \]
\[ 12x + 6 - 6 = 42 - 6 \ \Rightarrow\ 12x = 36 \]
\[ \frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3 \]
\[ 12\cdot3 + 6 = 36 + 6 = 42 \checkmark \]

Trying values of x in 12x + 6 = 42

x12x + 6Equals 42?
118no
230no
342yes
454no
566no

Questions

What is x in 12x + 6 = 42?

The solution of 12x + 6 = 42 is x = 3.

How do you solve 12x + 6 = 42?

Subtract 6 from both sides to get 12x = 36, then divide both sides by 12 to get x = 3.

How do I check the answer?

Replace x by 3: 12(3) + 6 = 42, which is 42.

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    Solve 12x + 6 = 42: x = 3 (steps and check) | WordGPT