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Solve 4x + 9 = 25

The solution of 4x + 9 = 25 is x = 4.

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The lines y = 4x + 9 and y = 25 meet at x = 4-22468101020304050x = 4y = 4x + 9y = 25
The lines y = 4x + 9 and y = 25 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.

    4x+9=254x + 9 = 25
  2. 2

    Subtract 9 from both sides:

    4x+9−9=25−9 ⇒ 4x=164x + 9 - 9 = 25 - 9 \ \Rightarrow\ 4x = 16
  3. 3

    Divide both sides by 4:

    4x4=164 ⇒ x=4\frac{4x}{4} = \frac{16}{4} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    4⋅4+9=16+9=25✓4\cdot4 + 9 = 16 + 9 = 25 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 9 = 25\ \Rightarrow\ x = 4 \]
\[ 4x + 9 = 25 \]
\[ 4x + 9 - 9 = 25 - 9 \ \Rightarrow\ 4x = 16 \]
\[ \frac{4x}{4} = \frac{16}{4} \ \Rightarrow\ x = 4 \]
\[ 4\cdot4 + 9 = 16 + 9 = 25 \checkmark \]

Trying values of x in 4x + 9 = 25

x4x + 9Equals 25?
217no
321no
425yes
529no
633no

Questions

What is x in 4x + 9 = 25?

The solution of 4x + 9 = 25 is x = 4.

How do you solve 4x + 9 = 25?

Subtract 9 from both sides to get 4x = 16, then divide both sides by 4 to get x = 4.

How do I check the answer?

Replace x by 4: 4(4) + 9 = 25, which is 25.

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    Solve 4x + 9 = 25: x = 4 (steps and check) | WordGPT