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Solve 12x + 10 = 238

The solution of 12x + 10 = 238 is x = 19.

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The lines y = 12x + 10 and y = 238 meet at x = 19141618202224160180200220240260280300320x = 19y = 12x + 10y = 238
The lines y = 12x + 10 and y = 238 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+10=23812x + 10 = 238
  2. 2

    Subtract 10 from both sides:

    12x+10−10=238−10 ⇒ 12x=22812x + 10 - 10 = 238 - 10 \ \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+10=228+10=238✓12\cdot19 + 10 = 228 + 10 = 238 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 10 = 238\ \Rightarrow\ x = 19 \]
\[ 12x + 10 = 238 \]
\[ 12x + 10 - 10 = 238 - 10 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 + 10 = 228 + 10 = 238 \checkmark \]

Trying values of x in 12x + 10 = 238

x12x + 10Equals 238?
17214no
18226no
19238yes
20250no
21262no

Questions

What is x in 12x + 10 = 238?

The solution of 12x + 10 = 238 is x = 19.

How do you solve 12x + 10 = 238?

Subtract 10 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) + 10 = 238, which is 238.

Similar equations

    Solve 12x + 10 = 238: x = 19 (steps and check) | WordGPT