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Solve 8x + 3 = 11

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

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The lines y = 8x + 3 and y = 11 meet at x = 1-4-2246-40-20204060x = 1y = 8x + 3y = 11
The lines y = 8x + 3 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.

    8x+3=118x + 3 = 11
  2. 2

    Subtract 3 from both sides:

    8x+3−3=11−3 ⇒ 8x=88x + 3 - 3 = 11 - 3 \ \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+3=8+3=11✓8\cdot1 + 3 = 8 + 3 = 11 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 3 = 11\ \Rightarrow\ x = 1 \]
\[ 8x + 3 = 11 \]
\[ 8x + 3 - 3 = 11 - 3 \ \Rightarrow\ 8x = 8 \]
\[ \frac{8x}{8} = \frac{8}{8} \ \Rightarrow\ x = 1 \]
\[ 8\cdot1 + 3 = 8 + 3 = 11 \checkmark \]

Trying values of x in 8x + 3 = 11

x8x + 3Equals 11?
-1-5no
03no
111yes
219no
327no

Questions

What is x in 8x + 3 = 11?

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

How do you solve 8x + 3 = 11?

Subtract 3 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) + 3 = 11, which is 11.

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