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Solve 12x + 5 = 77

The solution of 12x + 5 = 77 is x = 6.

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The lines y = 12x + 5 and y = 77 meet at x = 62468101220406080100120140160x = 6y = 12x + 5y = 77
The lines y = 12x + 5 and y = 77 meet at x = 6. 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+5=7712x + 5 = 77
  2. 2

    Subtract 5 from both sides:

    12x+5−5=77−5 ⇒ 12x=7212x + 5 - 5 = 77 - 5 \ \Rightarrow\ 12x = 72
  3. 3

    Divide both sides by 12:

    12x12=7212 ⇒ x=6\frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    12⋅6+5=72+5=77✓12\cdot6 + 5 = 72 + 5 = 77 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 5 = 77\ \Rightarrow\ x = 6 \]
\[ 12x + 5 = 77 \]
\[ 12x + 5 - 5 = 77 - 5 \ \Rightarrow\ 12x = 72 \]
\[ \frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6 \]
\[ 12\cdot6 + 5 = 72 + 5 = 77 \checkmark \]

Trying values of x in 12x + 5 = 77

x12x + 5Equals 77?
453no
565no
677yes
789no
8101no

Questions

What is x in 12x + 5 = 77?

The solution of 12x + 5 = 77 is x = 6.

How do you solve 12x + 5 = 77?

Subtract 5 from both sides to get 12x = 72, then divide both sides by 12 to get x = 6.

How do I check the answer?

Replace x by 6: 12(6) + 5 = 77, which is 77.

Similar equations

    Solve 12x + 5 = 77: x = 6 (steps and check) | WordGPT