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Solve 7x + 11 = 53

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

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The lines y = 7x + 11 and y = 53 meet at x = 62468101220406080100x = 6y = 7x + 11y = 53
The lines y = 7x + 11 and y = 53 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.

    7x+11=537x + 11 = 53
  2. 2

    Subtract 11 from both sides:

    7x+11−11=53−11 ⇒ 7x=427x + 11 - 11 = 53 - 11 \ \Rightarrow\ 7x = 42
  3. 3

    Divide both sides by 7:

    7x7=427 ⇒ x=6\frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    7⋅6+11=42+11=53✓7\cdot6 + 11 = 42 + 11 = 53 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 11 = 53\ \Rightarrow\ x = 6 \]
\[ 7x + 11 = 53 \]
\[ 7x + 11 - 11 = 53 - 11 \ \Rightarrow\ 7x = 42 \]
\[ \frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6 \]
\[ 7\cdot6 + 11 = 42 + 11 = 53 \checkmark \]

Trying values of x in 7x + 11 = 53

x7x + 11Equals 53?
439no
546no
653yes
760no
867no

Questions

What is x in 7x + 11 = 53?

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

How do you solve 7x + 11 = 53?

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

How do I check the answer?

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

Similar equations

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