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Solve 4x + 3 = 11

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

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The lines y = 4x + 3 and y = 11 meet at x = 2-4-22468-1010203040x = 2y = 4x + 3y = 11
The lines y = 4x + 3 and y = 11 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+3=114x + 3 = 11
  2. 2

    Subtract 3 from both sides:

    4x+3−3=11−3 ⇒ 4x=84x + 3 - 3 = 11 - 3 \ \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+3=8+3=11✓4\cdot2 + 3 = 8 + 3 = 11 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 3 = 11\ \Rightarrow\ x = 2 \]
\[ 4x + 3 = 11 \]
\[ 4x + 3 - 3 = 11 - 3 \ \Rightarrow\ 4x = 8 \]
\[ \frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2 \]
\[ 4\cdot2 + 3 = 8 + 3 = 11 \checkmark \]

Trying values of x in 4x + 3 = 11

x4x + 3Equals 11?
03no
17no
211yes
315no
419no

Questions

What is x in 4x + 3 = 11?

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

How do you solve 4x + 3 = 11?

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

Similar equations

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