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Solve 11x + 5 = 126

The solution of 11x + 5 = 126 is x = 11.

The lines y = 11x + 5 and y = 126 meet at x = 1168101214166080100120140160180200x = 11y = 11x + 5y = 126
The lines y = 11x + 5 and y = 126 meet at x = 11. 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=12611x + 5 = 126
  2. 2

    Subtract 5 from both sides:

    11x+5−5=126−5 ⇒ 11x=12111x + 5 - 5 = 126 - 5 \ \Rightarrow\ 11x = 121
  3. 3

    Divide both sides by 11:

    11x11=12111 ⇒ x=11\frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    11⋅11+5=121+5=126✓11\cdot11 + 5 = 121 + 5 = 126 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 126\ \Rightarrow\ x = 11 \]
\[ 11x + 5 = 126 \]
\[ 11x + 5 - 5 = 126 - 5 \ \Rightarrow\ 11x = 121 \]
\[ \frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11 \]
\[ 11\cdot11 + 5 = 121 + 5 = 126 \checkmark \]

Trying values of x in 11x + 5 = 126

x11x + 5Equals 126?
9104no
10115no
11126yes
12137no
13148no

Questions

What is x in 11x + 5 = 126?

The solution of 11x + 5 = 126 is x = 11.

How do you solve 11x + 5 = 126?

Subtract 5 from both sides to get 11x = 121, then divide both sides by 11 to get x = 11.

How do I check the answer?

Replace x by 11: 11(11) + 5 = 126, which is 126.

Similar equations

    Solve 11x + 5 = 126: x = 11 (steps and check) | WordGPT