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Solve 4x + 11 = 3

The solution of 4x + 11 = 3 is x = -2.

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The lines y = 4x + 11 and y = 3 meet at x = -2-8-6-4-224-20-10102030x = -2y = 4x + 11y = 3
The lines y = 4x + 11 and y = 3 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.

    4x+11=34x + 11 = 3
  2. 2

    Subtract 11 from both sides:

    4x+11−11=3−11 ⇒ 4x=−84x + 11 - 11 = 3 - 11 \ \Rightarrow\ 4x = -8
  3. 3

    Divide both sides by 4:

    4x4=−84 ⇒ x=−2\frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2
  4. 4

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

    4⋅(−2)+11=−8+11=3✓4\cdot(-2) + 11 = -8 + 11 = 3 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 11 = 3\ \Rightarrow\ x = -2 \]
\[ 4x + 11 = 3 \]
\[ 4x + 11 - 11 = 3 - 11 \ \Rightarrow\ 4x = -8 \]
\[ \frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2 \]
\[ 4\cdot(-2) + 11 = -8 + 11 = 3 \checkmark \]

Trying values of x in 4x + 11 = 3

x4x + 11Equals 3?
-4-5no
-3-1no
-23yes
-17no
011no

Questions

What is x in 4x + 11 = 3?

The solution of 4x + 11 = 3 is x = -2.

How do you solve 4x + 11 = 3?

Subtract 11 from both sides to get 4x = -8, then divide both sides by 4 to get x = -2.

How do I check the answer?

Replace x by -2: 4(-2) + 11 = 3, which is 3.

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    Solve 4x + 11 = 3: x = -2 (steps and check) | WordGPT