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Solve 12x + 7 = 127

The solution of 12x + 7 = 127 is x = 10.

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The lines y = 12x + 7 and y = 127 meet at x = 10468101214166080100120140160180200x = 10y = 12x + 7y = 127
The lines y = 12x + 7 and y = 127 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+7=12712x + 7 = 127
  2. 2

    Subtract 7 from both sides:

    12x+7−7=127−7 ⇒ 12x=12012x + 7 - 7 = 127 - 7 \ \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+7=120+7=127✓12\cdot10 + 7 = 120 + 7 = 127 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 127\ \Rightarrow\ x = 10 \]
\[ 12x + 7 = 127 \]
\[ 12x + 7 - 7 = 127 - 7 \ \Rightarrow\ 12x = 120 \]
\[ \frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10 \]
\[ 12\cdot10 + 7 = 120 + 7 = 127 \checkmark \]

Trying values of x in 12x + 7 = 127

x12x + 7Equals 127?
8103no
9115no
10127yes
11139no
12151no

Questions

What is x in 12x + 7 = 127?

The solution of 12x + 7 = 127 is x = 10.

How do you solve 12x + 7 = 127?

Subtract 7 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) + 7 = 127, which is 127.

Similar equations

    Solve 12x + 7 = 127: x = 10 (steps and check) | WordGPT