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Solve 12x + 5 = 65

The solution of 12x + 5 = 65 is x = 5.

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The lines y = 12x + 5 and y = 65 meet at x = 5246810-2020406080100120140x = 5y = 12x + 5y = 65
The lines y = 12x + 5 and y = 65 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+5=6512x + 5 = 65
  2. 2

    Subtract 5 from both sides:

    12x+5−5=65−5 ⇒ 12x=6012x + 5 - 5 = 65 - 5 \ \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+5=60+5=65✓12\cdot5 + 5 = 60 + 5 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 5 = 65\ \Rightarrow\ x = 5 \]
\[ 12x + 5 = 65 \]
\[ 12x + 5 - 5 = 65 - 5 \ \Rightarrow\ 12x = 60 \]
\[ \frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5 \]
\[ 12\cdot5 + 5 = 60 + 5 = 65 \checkmark \]

Trying values of x in 12x + 5 = 65

x12x + 5Equals 65?
341no
453no
565yes
677no
789no

Questions

What is x in 12x + 5 = 65?

The solution of 12x + 5 = 65 is x = 5.

How do you solve 12x + 5 = 65?

Subtract 5 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) + 5 = 65, which is 65.

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    Solve 12x + 5 = 65: x = 5 (steps and check) | WordGPT