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Solve 12x + 6 = 126

The solution of 12x + 6 = 126 is x = 10.

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The lines y = 12x + 6 and y = 126 meet at x = 1046810121416406080100120140160180200x = 10y = 12x + 6y = 126
The lines y = 12x + 6 and y = 126 meet at x = 10. 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+6=12612x + 6 = 126
  2. 2

    Subtract 6 from both sides:

    12x+6−6=126−6 ⇒ 12x=12012x + 6 - 6 = 126 - 6 \ \Rightarrow\ 12x = 120
  3. 3

    Divide both sides by 12:

    12x12=12012 ⇒ x=10\frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    12⋅10+6=120+6=126✓12\cdot10 + 6 = 120 + 6 = 126 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 6 = 126\ \Rightarrow\ x = 10 \]
\[ 12x + 6 = 126 \]
\[ 12x + 6 - 6 = 126 - 6 \ \Rightarrow\ 12x = 120 \]
\[ \frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10 \]
\[ 12\cdot10 + 6 = 120 + 6 = 126 \checkmark \]

Trying values of x in 12x + 6 = 126

x12x + 6Equals 126?
8102no
9114no
10126yes
11138no
12150no

Questions

What is x in 12x + 6 = 126?

The solution of 12x + 6 = 126 is x = 10.

How do you solve 12x + 6 = 126?

Subtract 6 from both sides to get 12x = 120, then divide both sides by 12 to get x = 10.

How do I check the answer?

Replace x by 10: 12(10) + 6 = 126, which is 126.

Similar equations

    Solve 12x + 6 = 126: x = 10 (steps and check) | WordGPT