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Solve 6x + 11 = 47

The solution of 6x + 11 = 47 is x = 6.

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The lines y = 6x + 11 and y = 47 meet at x = 624681012102030405060708090x = 6y = 6x + 11y = 47
The lines y = 6x + 11 and y = 47 meet at x = 6. 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.

    6x+11=476x + 11 = 47
  2. 2

    Subtract 11 from both sides:

    6x+11−11=47−11 ⇒ 6x=366x + 11 - 11 = 47 - 11 \ \Rightarrow\ 6x = 36
  3. 3

    Divide both sides by 6:

    6x6=366 ⇒ x=6\frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    6⋅6+11=36+11=47✓6\cdot6 + 11 = 36 + 11 = 47 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 11 = 47\ \Rightarrow\ x = 6 \]
\[ 6x + 11 = 47 \]
\[ 6x + 11 - 11 = 47 - 11 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 + 11 = 36 + 11 = 47 \checkmark \]

Trying values of x in 6x + 11 = 47

x6x + 11Equals 47?
435no
541no
647yes
753no
859no

Questions

What is x in 6x + 11 = 47?

The solution of 6x + 11 = 47 is x = 6.

How do you solve 6x + 11 = 47?

Subtract 11 from both sides to get 6x = 36, then divide both sides by 6 to get x = 6.

How do I check the answer?

Replace x by 6: 6(6) + 11 = 47, which is 47.

Similar equations

    Solve 6x + 11 = 47: x = 6 (steps and check) | WordGPT