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Solve 5x + 12 = 77

The solution of 5x + 12 = 77 is x = 13.

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The lines y = 5x + 12 and y = 77 meet at x = 13810121416185060708090100110x = 13y = 5x + 12y = 77
The lines y = 5x + 12 and y = 77 meet at x = 13. 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.

    5x+12=775x + 12 = 77
  2. 2

    Subtract 12 from both sides:

    5x+12−12=77−12 ⇒ 5x=655x + 12 - 12 = 77 - 12 \ \Rightarrow\ 5x = 65
  3. 3

    Divide both sides by 5:

    5x5=655 ⇒ x=13\frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    5⋅13+12=65+12=77✓5\cdot13 + 12 = 65 + 12 = 77 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 12 = 77\ \Rightarrow\ x = 13 \]
\[ 5x + 12 = 77 \]
\[ 5x + 12 - 12 = 77 - 12 \ \Rightarrow\ 5x = 65 \]
\[ \frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13 \]
\[ 5\cdot13 + 12 = 65 + 12 = 77 \checkmark \]

Trying values of x in 5x + 12 = 77

x5x + 12Equals 77?
1167no
1272no
1377yes
1482no
1587no

Questions

What is x in 5x + 12 = 77?

The solution of 5x + 12 = 77 is x = 13.

How do you solve 5x + 12 = 77?

Subtract 12 from both sides to get 5x = 65, then divide both sides by 5 to get x = 13.

How do I check the answer?

Replace x by 13: 5(13) + 12 = 77, which is 77.

Similar equations

    Solve 5x + 12 = 77: x = 13 (steps and check) | WordGPT