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Solve 12x + 12 = 120

The solution of 12x + 12 = 120 is x = 9.

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The lines y = 12x + 12 and y = 120 meet at x = 9468101214406080100120140160180200x = 9y = 12x + 12y = 120
The lines y = 12x + 12 and y = 120 meet at x = 9. 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=12012x + 12 = 120
  2. 2

    Subtract 12 from both sides:

    12x+12−12=120−12 ⇒ 12x=10812x + 12 - 12 = 120 - 12 \ \Rightarrow\ 12x = 108
  3. 3

    Divide both sides by 12:

    12x12=10812 ⇒ x=9\frac{12x}{12} = \frac{108}{12} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    12⋅9+12=108+12=120✓12\cdot9 + 12 = 108 + 12 = 120 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 12 = 120\ \Rightarrow\ x = 9 \]
\[ 12x + 12 = 120 \]
\[ 12x + 12 - 12 = 120 - 12 \ \Rightarrow\ 12x = 108 \]
\[ \frac{12x}{12} = \frac{108}{12} \ \Rightarrow\ x = 9 \]
\[ 12\cdot9 + 12 = 108 + 12 = 120 \checkmark \]

Trying values of x in 12x + 12 = 120

x12x + 12Equals 120?
796no
8108no
9120yes
10132no
11144no

Questions

What is x in 12x + 12 = 120?

The solution of 12x + 12 = 120 is x = 9.

How do you solve 12x + 12 = 120?

Subtract 12 from both sides to get 12x = 108, then divide both sides by 12 to get x = 9.

How do I check the answer?

Replace x by 9: 12(9) + 12 = 120, which is 120.

Similar equations

    Solve 12x + 12 = 120: x = 9 (steps and check) | WordGPT