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Solve 6x + 11 = 53

The solution of 6x + 11 = 53 is x = 7.

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The lines y = 6x + 11 and y = 53 meet at x = 724681012102030405060708090x = 7y = 6x + 11y = 53
The lines y = 6x + 11 and y = 53 meet at x = 7. 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=536x + 11 = 53
  2. 2

    Subtract 11 from both sides:

    6x+11−11=53−11 ⇒ 6x=426x + 11 - 11 = 53 - 11 \ \Rightarrow\ 6x = 42
  3. 3

    Divide both sides by 6:

    6x6=426 ⇒ x=7\frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    6⋅7+11=42+11=53✓6\cdot7 + 11 = 42 + 11 = 53 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 11 = 53\ \Rightarrow\ x = 7 \]
\[ 6x + 11 = 53 \]
\[ 6x + 11 - 11 = 53 - 11 \ \Rightarrow\ 6x = 42 \]
\[ \frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7 \]
\[ 6\cdot7 + 11 = 42 + 11 = 53 \checkmark \]

Trying values of x in 6x + 11 = 53

x6x + 11Equals 53?
541no
647no
753yes
859no
965no

Questions

What is x in 6x + 11 = 53?

The solution of 6x + 11 = 53 is x = 7.

How do you solve 6x + 11 = 53?

Subtract 11 from both sides to get 6x = 42, then divide both sides by 6 to get x = 7.

How do I check the answer?

Replace x by 7: 6(7) + 11 = 53, which is 53.

Similar equations

    Solve 6x + 11 = 53: x = 7 (steps and check) | WordGPT