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Solve 6x + 5 = 11

The solution of 6x + 5 = 11 is x = 1.

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The lines y = 6x + 5 and y = 11 meet at x = 1-4-2246-30-20-101020304050x = 1y = 6x + 5y = 11
The lines y = 6x + 5 and y = 11 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.

    6x+5=116x + 5 = 11
  2. 2

    Subtract 5 from both sides:

    6x+5−5=11−5 ⇒ 6x=66x + 5 - 5 = 11 - 5 \ \Rightarrow\ 6x = 6
  3. 3

    Divide both sides by 6:

    6x6=66 ⇒ x=1\frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    6⋅1+5=6+5=11✓6\cdot1 + 5 = 6 + 5 = 11 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 5 = 11\ \Rightarrow\ x = 1 \]
\[ 6x + 5 = 11 \]
\[ 6x + 5 - 5 = 11 - 5 \ \Rightarrow\ 6x = 6 \]
\[ \frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1 \]
\[ 6\cdot1 + 5 = 6 + 5 = 11 \checkmark \]

Trying values of x in 6x + 5 = 11

x6x + 5Equals 11?
-1-1no
05no
111yes
217no
323no

Questions

What is x in 6x + 5 = 11?

The solution of 6x + 5 = 11 is x = 1.

How do you solve 6x + 5 = 11?

Subtract 5 from both sides to get 6x = 6, then divide both sides by 6 to get x = 1.

How do I check the answer?

Replace x by 1: 6(1) + 5 = 11, which is 11.

Similar equations

    Solve 6x + 5 = 11: x = 1 (steps and check) | WordGPT