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Solve 11x + 4 = 59

The solution of 11x + 4 = 59 is x = 5.

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The lines y = 11x + 4 and y = 59 meet at x = 5246810-2020406080100120x = 5y = 11x + 4y = 59
The lines y = 11x + 4 and y = 59 meet at x = 5. 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.

    11x+4=5911x + 4 = 59
  2. 2

    Subtract 4 from both sides:

    11x+4−4=59−4 ⇒ 11x=5511x + 4 - 4 = 59 - 4 \ \Rightarrow\ 11x = 55
  3. 3

    Divide both sides by 11:

    11x11=5511 ⇒ x=5\frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    11⋅5+4=55+4=59✓11\cdot5 + 4 = 55 + 4 = 59 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 4 = 59\ \Rightarrow\ x = 5 \]
\[ 11x + 4 = 59 \]
\[ 11x + 4 - 4 = 59 - 4 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 + 4 = 55 + 4 = 59 \checkmark \]

Trying values of x in 11x + 4 = 59

x11x + 4Equals 59?
337no
448no
559yes
670no
781no

Questions

What is x in 11x + 4 = 59?

The solution of 11x + 4 = 59 is x = 5.

How do you solve 11x + 4 = 59?

Subtract 4 from both sides to get 11x = 55, then divide both sides by 11 to get x = 5.

How do I check the answer?

Replace x by 5: 11(5) + 4 = 59, which is 59.

Similar equations

    Solve 11x + 4 = 59: x = 5 (steps and check) | WordGPT