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Solve 12x + 7 = 67

The solution of 12x + 7 = 67 is x = 5.

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The lines y = 12x + 7 and y = 67 meet at x = 524681020406080100120140x = 5y = 12x + 7y = 67
The lines y = 12x + 7 and y = 67 meet at x = 5. 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=6712x + 7 = 67
  2. 2

    Subtract 7 from both sides:

    12x+7−7=67−7 ⇒ 12x=6012x + 7 - 7 = 67 - 7 \ \Rightarrow\ 12x = 60
  3. 3

    Divide both sides by 12:

    12x12=6012 ⇒ x=5\frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    12⋅5+7=60+7=67✓12\cdot5 + 7 = 60 + 7 = 67 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 67\ \Rightarrow\ x = 5 \]
\[ 12x + 7 = 67 \]
\[ 12x + 7 - 7 = 67 - 7 \ \Rightarrow\ 12x = 60 \]
\[ \frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5 \]
\[ 12\cdot5 + 7 = 60 + 7 = 67 \checkmark \]

Trying values of x in 12x + 7 = 67

x12x + 7Equals 67?
343no
455no
567yes
679no
791no

Questions

What is x in 12x + 7 = 67?

The solution of 12x + 7 = 67 is x = 5.

How do you solve 12x + 7 = 67?

Subtract 7 from both sides to get 12x = 60, then divide both sides by 12 to get x = 5.

How do I check the answer?

Replace x by 5: 12(5) + 7 = 67, which is 67.

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    Solve 12x + 7 = 67: x = 5 (steps and check) | WordGPT