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Solve 7x + 11 = 102

The solution of 7x + 11 = 102 is x = 13.

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The lines y = 7x + 11 and y = 102 meet at x = 13810121416186080100120140x = 13y = 7x + 11y = 102
The lines y = 7x + 11 and y = 102 meet at x = 13. 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=1027x + 11 = 102
  2. 2

    Subtract 11 from both sides:

    7x+11−11=102−11 ⇒ 7x=917x + 11 - 11 = 102 - 11 \ \Rightarrow\ 7x = 91
  3. 3

    Divide both sides by 7:

    7x7=917 ⇒ x=13\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    7⋅13+11=91+11=102✓7\cdot13 + 11 = 91 + 11 = 102 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 11 = 102\ \Rightarrow\ x = 13 \]
\[ 7x + 11 = 102 \]
\[ 7x + 11 - 11 = 102 - 11 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 + 11 = 91 + 11 = 102 \checkmark \]

Trying values of x in 7x + 11 = 102

x7x + 11Equals 102?
1188no
1295no
13102yes
14109no
15116no

Questions

What is x in 7x + 11 = 102?

The solution of 7x + 11 = 102 is x = 13.

How do you solve 7x + 11 = 102?

Subtract 11 from both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) + 11 = 102, which is 102.

Similar equations

    Solve 7x + 11 = 102: x = 13 (steps and check) | WordGPT