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Solve 8x + 11 = 3

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

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The lines y = 8x + 11 and y = 3 meet at x = -1-6-4-224-40-20204060x = -1y = 8x + 11y = 3
The lines y = 8x + 11 and y = 3 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.

    8x+11=38x + 11 = 3
  2. 2

    Subtract 11 from both sides:

    8x+11−11=3−11 ⇒ 8x=−88x + 11 - 11 = 3 - 11 \ \Rightarrow\ 8x = -8
  3. 3

    Divide both sides by 8:

    8x8=−88 ⇒ x=−1\frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

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

Trying values of x in 8x + 11 = 3

x8x + 11Equals 3?
-3-13no
-2-5no
-13yes
011no
119no

Questions

What is x in 8x + 11 = 3?

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

How do you solve 8x + 11 = 3?

Subtract 11 from both sides to get 8x = -8, then divide both sides by 8 to get x = -1.

How do I check the answer?

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

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