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Solve 11x + 3 = 47

The solution of 11x + 3 = 47 is x = 4.

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The lines y = 11x + 3 and y = 47 meet at x = 4-2246810-2020406080100120x = 4y = 11x + 3y = 47
The lines y = 11x + 3 and y = 47 meet at x = 4. 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=4711x + 3 = 47
  2. 2

    Subtract 3 from both sides:

    11x+3−3=47−3 ⇒ 11x=4411x + 3 - 3 = 47 - 3 \ \Rightarrow\ 11x = 44
  3. 3

    Divide both sides by 11:

    11x11=4411 ⇒ x=4\frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    11⋅4+3=44+3=47✓11\cdot4 + 3 = 44 + 3 = 47 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 3 = 47\ \Rightarrow\ x = 4 \]
\[ 11x + 3 = 47 \]
\[ 11x + 3 - 3 = 47 - 3 \ \Rightarrow\ 11x = 44 \]
\[ \frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4 \]
\[ 11\cdot4 + 3 = 44 + 3 = 47 \checkmark \]

Trying values of x in 11x + 3 = 47

x11x + 3Equals 47?
225no
336no
447yes
558no
669no

Questions

What is x in 11x + 3 = 47?

The solution of 11x + 3 = 47 is x = 4.

How do you solve 11x + 3 = 47?

Subtract 3 from both sides to get 11x = 44, then divide both sides by 11 to get x = 4.

How do I check the answer?

Replace x by 4: 11(4) + 3 = 47, which is 47.

Similar equations

    Solve 11x + 3 = 47: x = 4 (steps and check) | WordGPT