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Solve 4x + 9 = 33

The solution of 4x + 9 = 33 is x = 6.

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The lines y = 4x + 9 and y = 33 meet at x = 624681012102030405060x = 6y = 4x + 9y = 33
The lines y = 4x + 9 and y = 33 meet at x = 6. 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+9=334x + 9 = 33
  2. 2

    Subtract 9 from both sides:

    4x+9−9=33−9 ⇒ 4x=244x + 9 - 9 = 33 - 9 \ \Rightarrow\ 4x = 24
  3. 3

    Divide both sides by 4:

    4x4=244 ⇒ x=6\frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    4⋅6+9=24+9=33✓4\cdot6 + 9 = 24 + 9 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 9 = 33\ \Rightarrow\ x = 6 \]
\[ 4x + 9 = 33 \]
\[ 4x + 9 - 9 = 33 - 9 \ \Rightarrow\ 4x = 24 \]
\[ \frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6 \]
\[ 4\cdot6 + 9 = 24 + 9 = 33 \checkmark \]

Trying values of x in 4x + 9 = 33

x4x + 9Equals 33?
425no
529no
633yes
737no
841no

Questions

What is x in 4x + 9 = 33?

The solution of 4x + 9 = 33 is x = 6.

How do you solve 4x + 9 = 33?

Subtract 9 from both sides to get 4x = 24, then divide both sides by 4 to get x = 6.

How do I check the answer?

Replace x by 6: 4(6) + 9 = 33, which is 33.

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    Solve 4x + 9 = 33: x = 6 (steps and check) | WordGPT