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Solve 5x + 11 = 106

The solution of 5x + 11 = 106 is x = 19.

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The lines y = 5x + 11 and y = 106 meet at x = 19141618202224708090100110120130140x = 19y = 5x + 11y = 106
The lines y = 5x + 11 and y = 106 meet at x = 19. 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.

    5x+11=1065x + 11 = 106
  2. 2

    Subtract 11 from both sides:

    5x+11−11=106−11 ⇒ 5x=955x + 11 - 11 = 106 - 11 \ \Rightarrow\ 5x = 95
  3. 3

    Divide both sides by 5:

    5x5=955 ⇒ x=19\frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    5⋅19+11=95+11=106✓5\cdot19 + 11 = 95 + 11 = 106 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 106\ \Rightarrow\ x = 19 \]
\[ 5x + 11 = 106 \]
\[ 5x + 11 - 11 = 106 - 11 \ \Rightarrow\ 5x = 95 \]
\[ \frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19 \]
\[ 5\cdot19 + 11 = 95 + 11 = 106 \checkmark \]

Trying values of x in 5x + 11 = 106

x5x + 11Equals 106?
1796no
18101no
19106yes
20111no
21116no

Questions

What is x in 5x + 11 = 106?

The solution of 5x + 11 = 106 is x = 19.

How do you solve 5x + 11 = 106?

Subtract 11 from both sides to get 5x = 95, then divide both sides by 5 to get x = 19.

How do I check the answer?

Replace x by 19: 5(19) + 11 = 106, which is 106.

Similar equations

    Solve 5x + 11 = 106: x = 19 (steps and check) | WordGPT