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Solve 4x + 9 = 65

The solution of 4x + 9 = 65 is x = 14.

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The lines y = 4x + 9 and y = 65 meet at x = 148101214161820405060708090x = 14y = 4x + 9y = 65
The lines y = 4x + 9 and y = 65 meet at x = 14. 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=654x + 9 = 65
  2. 2

    Subtract 9 from both sides:

    4x+9−9=65−9 ⇒ 4x=564x + 9 - 9 = 65 - 9 \ \Rightarrow\ 4x = 56
  3. 3

    Divide both sides by 4:

    4x4=564 ⇒ x=14\frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    4⋅14+9=56+9=65✓4\cdot14 + 9 = 56 + 9 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 9 = 65\ \Rightarrow\ x = 14 \]
\[ 4x + 9 = 65 \]
\[ 4x + 9 - 9 = 65 - 9 \ \Rightarrow\ 4x = 56 \]
\[ \frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14 \]
\[ 4\cdot14 + 9 = 56 + 9 = 65 \checkmark \]

Trying values of x in 4x + 9 = 65

x4x + 9Equals 65?
1257no
1361no
1465yes
1569no
1673no

Questions

What is x in 4x + 9 = 65?

The solution of 4x + 9 = 65 is x = 14.

How do you solve 4x + 9 = 65?

Subtract 9 from both sides to get 4x = 56, then divide both sides by 4 to get x = 14.

How do I check the answer?

Replace x by 14: 4(14) + 9 = 65, which is 65.

Similar equations

    Solve 4x + 9 = 65: x = 14 (steps and check) | WordGPT