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Solve 3x + 11 = 8

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

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The lines y = 3x + 11 and y = 8 meet at x = -1-6-4-224-10-5510152025x = -1y = 3x + 11y = 8
The lines y = 3x + 11 and y = 8 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+11=83x + 11 = 8
  2. 2

    Subtract 11 from both sides:

    3x+11−11=8−11 ⇒ 3x=−33x + 11 - 11 = 8 - 11 \ \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)+11=−3+11=8✓3\cdot(-1) + 11 = -3 + 11 = 8 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 11 = 8\ \Rightarrow\ x = -1 \]
\[ 3x + 11 = 8 \]
\[ 3x + 11 - 11 = 8 - 11 \ \Rightarrow\ 3x = -3 \]
\[ \frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1 \]
\[ 3\cdot(-1) + 11 = -3 + 11 = 8 \checkmark \]

Trying values of x in 3x + 11 = 8

x3x + 11Equals 8?
-32no
-25no
-18yes
011no
114no

Questions

What is x in 3x + 11 = 8?

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

How do you solve 3x + 11 = 8?

Subtract 11 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) + 11 = 8, which is 8.

Similar equations

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