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Solve 11x + 5 = 137

The solution of 11x + 5 = 137 is x = 12.

The lines y = 11x + 5 and y = 137 meet at x = 126810121416186080100120140160180200x = 12y = 11x + 5y = 137
The lines y = 11x + 5 and y = 137 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+5=13711x + 5 = 137
  2. 2

    Subtract 5 from both sides:

    11x+5−5=137−5 ⇒ 11x=13211x + 5 - 5 = 137 - 5 \ \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+5=132+5=137✓11\cdot12 + 5 = 132 + 5 = 137 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 137\ \Rightarrow\ x = 12 \]
\[ 11x + 5 = 137 \]
\[ 11x + 5 - 5 = 137 - 5 \ \Rightarrow\ 11x = 132 \]
\[ \frac{11x}{11} = \frac{132}{11} \ \Rightarrow\ x = 12 \]
\[ 11\cdot12 + 5 = 132 + 5 = 137 \checkmark \]

Trying values of x in 11x + 5 = 137

x11x + 5Equals 137?
10115no
11126no
12137yes
13148no
14159no

Questions

What is x in 11x + 5 = 137?

The solution of 11x + 5 = 137 is x = 12.

How do you solve 11x + 5 = 137?

Subtract 5 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) + 5 = 137, which is 137.

Similar equations

    Solve 11x + 5 = 137: x = 12 (steps and check) | WordGPT