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Solve 3x + 11 = 5

The solution of 3x + 11 = 5 is x = -2.

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The lines y = 3x + 11 and y = 5 meet at x = -2-8-6-4-224-15-10-5510152025x = -2y = 3x + 11y = 5
The lines y = 3x + 11 and y = 5 meet at x = -2. 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=53x + 11 = 5
  2. 2

    Subtract 11 from both sides:

    3x+11−11=5−11 ⇒ 3x=−63x + 11 - 11 = 5 - 11 \ \Rightarrow\ 3x = -6
  3. 3

    Divide both sides by 3:

    3x3=−63 ⇒ x=−2\frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

    3⋅(−2)+11=−6+11=5✓3\cdot(-2) + 11 = -6 + 11 = 5 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 11 = 5\ \Rightarrow\ x = -2 \]
\[ 3x + 11 = 5 \]
\[ 3x + 11 - 11 = 5 - 11 \ \Rightarrow\ 3x = -6 \]
\[ \frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2 \]
\[ 3\cdot(-2) + 11 = -6 + 11 = 5 \checkmark \]

Trying values of x in 3x + 11 = 5

x3x + 11Equals 5?
-4-1no
-32no
-25yes
-18no
011no

Questions

What is x in 3x + 11 = 5?

The solution of 3x + 11 = 5 is x = -2.

How do you solve 3x + 11 = 5?

Subtract 11 from both sides to get 3x = -6, then divide both sides by 3 to get x = -2.

How do I check the answer?

Replace x by -2: 3(-2) + 11 = 5, which is 5.

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    Solve 3x + 11 = 5: x = -2 (steps and check) | WordGPT