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Solve 12x + 10 = 250

The solution of 12x + 10 = 250 is x = 20.

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The lines y = 12x + 10 and y = 250 meet at x = 2014161820222426180200220240260280300320x = 20y = 12x + 10y = 250
The lines y = 12x + 10 and y = 250 meet at x = 20. 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=25012x + 10 = 250
  2. 2

    Subtract 10 from both sides:

    12x+10−10=250−10 ⇒ 12x=24012x + 10 - 10 = 250 - 10 \ \Rightarrow\ 12x = 240
  3. 3

    Divide both sides by 12:

    12x12=24012 ⇒ x=20\frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    12⋅20+10=240+10=250✓12\cdot20 + 10 = 240 + 10 = 250 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 10 = 250\ \Rightarrow\ x = 20 \]
\[ 12x + 10 = 250 \]
\[ 12x + 10 - 10 = 250 - 10 \ \Rightarrow\ 12x = 240 \]
\[ \frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20 \]
\[ 12\cdot20 + 10 = 240 + 10 = 250 \checkmark \]

Trying values of x in 12x + 10 = 250

x12x + 10Equals 250?
18226no
19238no
20250yes
21262no
22274no

Questions

What is x in 12x + 10 = 250?

The solution of 12x + 10 = 250 is x = 20.

How do you solve 12x + 10 = 250?

Subtract 10 from both sides to get 12x = 240, then divide both sides by 12 to get x = 20.

How do I check the answer?

Replace x by 20: 12(20) + 10 = 250, which is 250.

Similar equations

    Solve 12x + 10 = 250: x = 20 (steps and check) | WordGPT