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Solve 3x + 8 = 11

The solution of 3x + 8 = 11 is x = 1.

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The lines y = 3x + 8 and y = 11 meet at x = 1-4-2246-10-551015202530x = 1y = 3x + 8y = 11
The lines y = 3x + 8 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.

    3x+8=113x + 8 = 11
  2. 2

    Subtract 8 from both sides:

    3x+8−8=11−8 ⇒ 3x=33x + 8 - 8 = 11 - 8 \ \Rightarrow\ 3x = 3
  3. 3

    Divide both sides by 3:

    3x3=33 ⇒ x=1\frac{3x}{3} = \frac{3}{3} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    3⋅1+8=3+8=11✓3\cdot1 + 8 = 3 + 8 = 11 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 8 = 11\ \Rightarrow\ x = 1 \]
\[ 3x + 8 = 11 \]
\[ 3x + 8 - 8 = 11 - 8 \ \Rightarrow\ 3x = 3 \]
\[ \frac{3x}{3} = \frac{3}{3} \ \Rightarrow\ x = 1 \]
\[ 3\cdot1 + 8 = 3 + 8 = 11 \checkmark \]

Trying values of x in 3x + 8 = 11

x3x + 8Equals 11?
-15no
08no
111yes
214no
317no

Questions

What is x in 3x + 8 = 11?

The solution of 3x + 8 = 11 is x = 1.

How do you solve 3x + 8 = 11?

Subtract 8 from both sides to get 3x = 3, then divide both sides by 3 to get x = 1.

How do I check the answer?

Replace x by 1: 3(1) + 8 = 11, which is 11.

Similar equations

    Solve 3x + 8 = 11: x = 1 (steps and check) | WordGPT