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Solve 4x + 11 = 19

The solution of 4x + 11 = 19 is x = 2.

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The lines y = 4x + 11 and y = 19 meet at x = 2-4-2246810203040x = 2y = 4x + 11y = 19
The lines y = 4x + 11 and y = 19 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=194x + 11 = 19
  2. 2

    Subtract 11 from both sides:

    4x+11−11=19−11 ⇒ 4x=84x + 11 - 11 = 19 - 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=19✓4\cdot2 + 11 = 8 + 11 = 19 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 11 = 19\ \Rightarrow\ x = 2 \]
\[ 4x + 11 = 19 \]
\[ 4x + 11 - 11 = 19 - 11 \ \Rightarrow\ 4x = 8 \]
\[ \frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2 \]
\[ 4\cdot2 + 11 = 8 + 11 = 19 \checkmark \]

Trying values of x in 4x + 11 = 19

x4x + 11Equals 19?
011no
115no
219yes
323no
427no

Questions

What is x in 4x + 11 = 19?

The solution of 4x + 11 = 19 is x = 2.

How do you solve 4x + 11 = 19?

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 = 19, which is 19.

Similar equations

    Solve 4x + 11 = 19: x = 2 (steps and check) | WordGPT