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Solve 12x + 10 = 226

The solution of 12x + 10 = 226 is x = 18.

The lines y = 12x + 10 and y = 226 meet at x = 1812141618202224140160180200220240260280300x = 18y = 12x + 10y = 226
The lines y = 12x + 10 and y = 226 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+10=22612x + 10 = 226
  2. 2

    Subtract 10 from both sides:

    12x+10−10=226−10 ⇒ 12x=21612x + 10 - 10 = 226 - 10 \ \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+10=216+10=226✓12\cdot18 + 10 = 216 + 10 = 226 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 10 = 226\ \Rightarrow\ x = 18 \]
\[ 12x + 10 = 226 \]
\[ 12x + 10 - 10 = 226 - 10 \ \Rightarrow\ 12x = 216 \]
\[ \frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18 \]
\[ 12\cdot18 + 10 = 216 + 10 = 226 \checkmark \]

Trying values of x in 12x + 10 = 226

x12x + 10Equals 226?
16202no
17214no
18226yes
19238no
20250no

Questions

What is x in 12x + 10 = 226?

The solution of 12x + 10 = 226 is x = 18.

How do you solve 12x + 10 = 226?

Subtract 10 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) + 10 = 226, which is 226.

Similar equations

    Solve 12x + 10 = 226: x = 18 (steps and check) | WordGPT