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Solve 11x + 6 = 138

The solution of 11x + 6 = 138 is x = 12.

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The lines y = 11x + 6 and y = 138 meet at x = 126810121416186080100120140160180200x = 12y = 11x + 6y = 138
The lines y = 11x + 6 and y = 138 meet at x = 12. 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.

    11x+6=13811x + 6 = 138
  2. 2

    Subtract 6 from both sides:

    11x+6−6=138−6 ⇒ 11x=13211x + 6 - 6 = 138 - 6 \ \Rightarrow\ 11x = 132
  3. 3

    Divide both sides by 11:

    11x11=13211 ⇒ x=12\frac{11x}{11} = \frac{132}{11} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    11⋅12+6=132+6=138✓11\cdot12 + 6 = 132 + 6 = 138 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 6 = 138\ \Rightarrow\ x = 12 \]
\[ 11x + 6 = 138 \]
\[ 11x + 6 - 6 = 138 - 6 \ \Rightarrow\ 11x = 132 \]
\[ \frac{11x}{11} = \frac{132}{11} \ \Rightarrow\ x = 12 \]
\[ 11\cdot12 + 6 = 132 + 6 = 138 \checkmark \]

Trying values of x in 11x + 6 = 138

x11x + 6Equals 138?
10116no
11127no
12138yes
13149no
14160no

Questions

What is x in 11x + 6 = 138?

The solution of 11x + 6 = 138 is x = 12.

How do you solve 11x + 6 = 138?

Subtract 6 from both sides to get 11x = 132, then divide both sides by 11 to get x = 12.

How do I check the answer?

Replace x by 12: 11(12) + 6 = 138, which is 138.

Similar equations

    Solve 11x + 6 = 138: x = 12 (steps and check) | WordGPT