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Solve 4x + 11 = 83

The solution of 4x + 11 = 83 is x = 18.

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The lines y = 4x + 11 and y = 83 meet at x = 181214161820222460708090100110x = 18y = 4x + 11y = 83
The lines y = 4x + 11 and y = 83 meet at x = 18. 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=834x + 11 = 83
  2. 2

    Subtract 11 from both sides:

    4x+11−11=83−11 ⇒ 4x=724x + 11 - 11 = 83 - 11 \ \Rightarrow\ 4x = 72
  3. 3

    Divide both sides by 4:

    4x4=724 ⇒ x=18\frac{4x}{4} = \frac{72}{4} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    4⋅18+11=72+11=83✓4\cdot18 + 11 = 72 + 11 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 11 = 83\ \Rightarrow\ x = 18 \]
\[ 4x + 11 = 83 \]
\[ 4x + 11 - 11 = 83 - 11 \ \Rightarrow\ 4x = 72 \]
\[ \frac{4x}{4} = \frac{72}{4} \ \Rightarrow\ x = 18 \]
\[ 4\cdot18 + 11 = 72 + 11 = 83 \checkmark \]

Trying values of x in 4x + 11 = 83

x4x + 11Equals 83?
1675no
1779no
1883yes
1987no
2091no

Questions

What is x in 4x + 11 = 83?

The solution of 4x + 11 = 83 is x = 18.

How do you solve 4x + 11 = 83?

Subtract 11 from both sides to get 4x = 72, then divide both sides by 4 to get x = 18.

How do I check the answer?

Replace x by 18: 4(18) + 11 = 83, which is 83.

Similar equations

    Solve 4x + 11 = 83: x = 18 (steps and check) | WordGPT