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Solve 5x + 9 = 64

The solution of 5x + 9 = 64 is x = 11.

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The lines y = 5x + 9 and y = 64 meet at x = 11681012141630405060708090100x = 11y = 5x + 9y = 64
The lines y = 5x + 9 and y = 64 meet at x = 11. 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.

    5x+9=645x + 9 = 64
  2. 2

    Subtract 9 from both sides:

    5x+9−9=64−9 ⇒ 5x=555x + 9 - 9 = 64 - 9 \ \Rightarrow\ 5x = 55
  3. 3

    Divide both sides by 5:

    5x5=555 ⇒ x=11\frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    5⋅11+9=55+9=64✓5\cdot11 + 9 = 55 + 9 = 64 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 9 = 64\ \Rightarrow\ x = 11 \]
\[ 5x + 9 = 64 \]
\[ 5x + 9 - 9 = 64 - 9 \ \Rightarrow\ 5x = 55 \]
\[ \frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11 \]
\[ 5\cdot11 + 9 = 55 + 9 = 64 \checkmark \]

Trying values of x in 5x + 9 = 64

x5x + 9Equals 64?
954no
1059no
1164yes
1269no
1374no

Questions

What is x in 5x + 9 = 64?

The solution of 5x + 9 = 64 is x = 11.

How do you solve 5x + 9 = 64?

Subtract 9 from both sides to get 5x = 55, then divide both sides by 5 to get x = 11.

How do I check the answer?

Replace x by 11: 5(11) + 9 = 64, which is 64.

Similar equations

    Solve 5x + 9 = 64: x = 11 (steps and check) | WordGPT