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Solve 12x + 5 = 233

The solution of 12x + 5 = 233 is x = 19.

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The lines y = 12x + 5 and y = 233 meet at x = 19141618202224160180200220240260280300320x = 19y = 12x + 5y = 233
The lines y = 12x + 5 and y = 233 meet at x = 19. 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+5=23312x + 5 = 233
  2. 2

    Subtract 5 from both sides:

    12x+5−5=233−5 ⇒ 12x=22812x + 5 - 5 = 233 - 5 \ \Rightarrow\ 12x = 228
  3. 3

    Divide both sides by 12:

    12x12=22812 ⇒ x=19\frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    12⋅19+5=228+5=233✓12\cdot19 + 5 = 228 + 5 = 233 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 5 = 233\ \Rightarrow\ x = 19 \]
\[ 12x + 5 = 233 \]
\[ 12x + 5 - 5 = 233 - 5 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 + 5 = 228 + 5 = 233 \checkmark \]

Trying values of x in 12x + 5 = 233

x12x + 5Equals 233?
17209no
18221no
19233yes
20245no
21257no

Questions

What is x in 12x + 5 = 233?

The solution of 12x + 5 = 233 is x = 19.

How do you solve 12x + 5 = 233?

Subtract 5 from both sides to get 12x = 228, then divide both sides by 12 to get x = 19.

How do I check the answer?

Replace x by 19: 12(19) + 5 = 233, which is 233.

Similar equations

    Solve 12x + 5 = 233: x = 19 (steps and check) | WordGPT