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Solve 12x + 12 = 228

The solution of 12x + 12 = 228 is x = 18.

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The lines y = 12x + 12 and y = 228 meet at x = 1812141618202224160180200220240260280300x = 18y = 12x + 12y = 228
The lines y = 12x + 12 and y = 228 meet at x = 18. 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+12=22812x + 12 = 228
  2. 2

    Subtract 12 from both sides:

    12x+12−12=228−12 ⇒ 12x=21612x + 12 - 12 = 228 - 12 \ \Rightarrow\ 12x = 216
  3. 3

    Divide both sides by 12:

    12x12=21612 ⇒ x=18\frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    12⋅18+12=216+12=228✓12\cdot18 + 12 = 216 + 12 = 228 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 12 = 228\ \Rightarrow\ x = 18 \]
\[ 12x + 12 = 228 \]
\[ 12x + 12 - 12 = 228 - 12 \ \Rightarrow\ 12x = 216 \]
\[ \frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18 \]
\[ 12\cdot18 + 12 = 216 + 12 = 228 \checkmark \]

Trying values of x in 12x + 12 = 228

x12x + 12Equals 228?
16204no
17216no
18228yes
19240no
20252no

Questions

What is x in 12x + 12 = 228?

The solution of 12x + 12 = 228 is x = 18.

How do you solve 12x + 12 = 228?

Subtract 12 from both sides to get 12x = 216, then divide both sides by 12 to get x = 18.

How do I check the answer?

Replace x by 18: 12(18) + 12 = 228, which is 228.

Similar equations

    Solve 12x + 12 = 228: x = 18 (steps and check) | WordGPT