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Solve 12x + 11 = 71

The solution of 12x + 11 = 71 is x = 5.

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The lines y = 12x + 11 and y = 71 meet at x = 524681020406080100120140x = 5y = 12x + 11y = 71
The lines y = 12x + 11 and y = 71 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+11=7112x + 11 = 71
  2. 2

    Subtract 11 from both sides:

    12x+11−11=71−11 ⇒ 12x=6012x + 11 - 11 = 71 - 11 \ \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+11=60+11=71✓12\cdot5 + 11 = 60 + 11 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 11 = 71\ \Rightarrow\ x = 5 \]
\[ 12x + 11 = 71 \]
\[ 12x + 11 - 11 = 71 - 11 \ \Rightarrow\ 12x = 60 \]
\[ \frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5 \]
\[ 12\cdot5 + 11 = 60 + 11 = 71 \checkmark \]

Trying values of x in 12x + 11 = 71

x12x + 11Equals 71?
347no
459no
571yes
683no
795no

Questions

What is x in 12x + 11 = 71?

The solution of 12x + 11 = 71 is x = 5.

How do you solve 12x + 11 = 71?

Subtract 11 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) + 11 = 71, which is 71.

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    Solve 12x + 11 = 71: x = 5 (steps and check) | WordGPT