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Solve 4x + 11 = 55

The solution of 4x + 11 = 55 is x = 11.

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The lines y = 4x + 11 and y = 55 meet at x = 116810121416304050607080x = 11y = 4x + 11y = 55
The lines y = 4x + 11 and y = 55 meet at x = 11. 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=554x + 11 = 55
  2. 2

    Subtract 11 from both sides:

    4x+11−11=55−11 ⇒ 4x=444x + 11 - 11 = 55 - 11 \ \Rightarrow\ 4x = 44
  3. 3

    Divide both sides by 4:

    4x4=444 ⇒ x=11\frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    4⋅11+11=44+11=55✓4\cdot11 + 11 = 44 + 11 = 55 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 11 = 55\ \Rightarrow\ x = 11 \]
\[ 4x + 11 = 55 \]
\[ 4x + 11 - 11 = 55 - 11 \ \Rightarrow\ 4x = 44 \]
\[ \frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11 \]
\[ 4\cdot11 + 11 = 44 + 11 = 55 \checkmark \]

Trying values of x in 4x + 11 = 55

x4x + 11Equals 55?
947no
1051no
1155yes
1259no
1363no

Questions

What is x in 4x + 11 = 55?

The solution of 4x + 11 = 55 is x = 11.

How do you solve 4x + 11 = 55?

Subtract 11 from both sides to get 4x = 44, then divide both sides by 4 to get x = 11.

How do I check the answer?

Replace x by 11: 4(11) + 11 = 55, which is 55.

Similar equations

    Solve 4x + 11 = 55: x = 11 (steps and check) | WordGPT