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Solve 7x + 11 = 18

The solution of 7x + 11 = 18 is x = 1.

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The lines y = 7x + 11 and y = 18 meet at x = 1-4-2246-20204060x = 1y = 7x + 11y = 18
The lines y = 7x + 11 and y = 18 meet at x = 1. 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=187x + 11 = 18
  2. 2

    Subtract 11 from both sides:

    7x+11−11=18−11 ⇒ 7x=77x + 11 - 11 = 18 - 11 \ \Rightarrow\ 7x = 7
  3. 3

    Divide both sides by 7:

    7x7=77 ⇒ x=1\frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    7⋅1+11=7+11=18✓7\cdot1 + 11 = 7 + 11 = 18 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 11 = 18\ \Rightarrow\ x = 1 \]
\[ 7x + 11 = 18 \]
\[ 7x + 11 - 11 = 18 - 11 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 11 = 7 + 11 = 18 \checkmark \]

Trying values of x in 7x + 11 = 18

x7x + 11Equals 18?
-14no
011no
118yes
225no
332no

Questions

What is x in 7x + 11 = 18?

The solution of 7x + 11 = 18 is x = 1.

How do you solve 7x + 11 = 18?

Subtract 11 from both sides to get 7x = 7, then divide both sides by 7 to get x = 1.

How do I check the answer?

Replace x by 1: 7(1) + 11 = 18, which is 18.

Similar equations

    Solve 7x + 11 = 18: x = 1 (steps and check) | WordGPT