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Solve 4x + 11 = 91

The solution of 4x + 11 = 91 is x = 20.

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The lines y = 4x + 11 and y = 91 meet at x = 2014161820222426708090100110120x = 20y = 4x + 11y = 91
The lines y = 4x + 11 and y = 91 meet at x = 20. 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=914x + 11 = 91
  2. 2

    Subtract 11 from both sides:

    4x+11−11=91−11 ⇒ 4x=804x + 11 - 11 = 91 - 11 \ \Rightarrow\ 4x = 80
  3. 3

    Divide both sides by 4:

    4x4=804 ⇒ x=20\frac{4x}{4} = \frac{80}{4} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    4⋅20+11=80+11=91✓4\cdot20 + 11 = 80 + 11 = 91 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 11 = 91\ \Rightarrow\ x = 20 \]
\[ 4x + 11 = 91 \]
\[ 4x + 11 - 11 = 91 - 11 \ \Rightarrow\ 4x = 80 \]
\[ \frac{4x}{4} = \frac{80}{4} \ \Rightarrow\ x = 20 \]
\[ 4\cdot20 + 11 = 80 + 11 = 91 \checkmark \]

Trying values of x in 4x + 11 = 91

x4x + 11Equals 91?
1883no
1987no
2091yes
2195no
2299no

Questions

What is x in 4x + 11 = 91?

The solution of 4x + 11 = 91 is x = 20.

How do you solve 4x + 11 = 91?

Subtract 11 from both sides to get 4x = 80, then divide both sides by 4 to get x = 20.

How do I check the answer?

Replace x by 20: 4(20) + 11 = 91, which is 91.

Similar equations

    Solve 4x + 11 = 91: x = 20 (steps and check) | WordGPT