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Solve 11x + 3 = 58

The solution of 11x + 3 = 58 is x = 5.

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The lines y = 11x + 3 and y = 58 meet at x = 5246810-2020406080100120x = 5y = 11x + 3y = 58
The lines y = 11x + 3 and y = 58 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+3=5811x + 3 = 58
  2. 2

    Subtract 3 from both sides:

    11x+3−3=58−3 ⇒ 11x=5511x + 3 - 3 = 58 - 3 \ \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+3=55+3=58✓11\cdot5 + 3 = 55 + 3 = 58 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 3 = 58\ \Rightarrow\ x = 5 \]
\[ 11x + 3 = 58 \]
\[ 11x + 3 - 3 = 58 - 3 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 + 3 = 55 + 3 = 58 \checkmark \]

Trying values of x in 11x + 3 = 58

x11x + 3Equals 58?
336no
447no
558yes
669no
780no

Questions

What is x in 11x + 3 = 58?

The solution of 11x + 3 = 58 is x = 5.

How do you solve 11x + 3 = 58?

Subtract 3 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) + 3 = 58, which is 58.

Similar equations

    Solve 11x + 3 = 58: x = 5 (steps and check) | WordGPT