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Solve 4x + 11 = 47

The solution of 4x + 11 = 47 is x = 9.

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The lines y = 4x + 11 and y = 47 meet at x = 9468101214203040506070x = 9y = 4x + 11y = 47
The lines y = 4x + 11 and y = 47 meet at x = 9. 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=474x + 11 = 47
  2. 2

    Subtract 11 from both sides:

    4x+11−11=47−11 ⇒ 4x=364x + 11 - 11 = 47 - 11 \ \Rightarrow\ 4x = 36
  3. 3

    Divide both sides by 4:

    4x4=364 ⇒ x=9\frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    4⋅9+11=36+11=47✓4\cdot9 + 11 = 36 + 11 = 47 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 11 = 47\ \Rightarrow\ x = 9 \]
\[ 4x + 11 = 47 \]
\[ 4x + 11 - 11 = 47 - 11 \ \Rightarrow\ 4x = 36 \]
\[ \frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9 \]
\[ 4\cdot9 + 11 = 36 + 11 = 47 \checkmark \]

Trying values of x in 4x + 11 = 47

x4x + 11Equals 47?
739no
843no
947yes
1051no
1155no

Questions

What is x in 4x + 11 = 47?

The solution of 4x + 11 = 47 is x = 9.

How do you solve 4x + 11 = 47?

Subtract 11 from both sides to get 4x = 36, then divide both sides by 4 to get x = 9.

How do I check the answer?

Replace x by 9: 4(9) + 11 = 47, which is 47.

Similar equations

    Solve 4x + 11 = 47: x = 9 (steps and check) | WordGPT