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Solve 7x + 9 = 65

The solution of 7x + 9 = 65 is x = 8.

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The lines y = 7x + 9 and y = 65 meet at x = 8246810121420406080100x = 8y = 7x + 9y = 65
The lines y = 7x + 9 and y = 65 meet at x = 8. 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.

    7x+9=657x + 9 = 65
  2. 2

    Subtract 9 from both sides:

    7x+9−9=65−9 ⇒ 7x=567x + 9 - 9 = 65 - 9 \ \Rightarrow\ 7x = 56
  3. 3

    Divide both sides by 7:

    7x7=567 ⇒ x=8\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    7⋅8+9=56+9=65✓7\cdot8 + 9 = 56 + 9 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 9 = 65\ \Rightarrow\ x = 8 \]
\[ 7x + 9 = 65 \]
\[ 7x + 9 - 9 = 65 - 9 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 + 9 = 56 + 9 = 65 \checkmark \]

Trying values of x in 7x + 9 = 65

x7x + 9Equals 65?
651no
758no
865yes
972no
1079no

Questions

What is x in 7x + 9 = 65?

The solution of 7x + 9 = 65 is x = 8.

How do you solve 7x + 9 = 65?

Subtract 9 from both sides to get 7x = 56, then divide both sides by 7 to get x = 8.

How do I check the answer?

Replace x by 8: 7(8) + 9 = 65, which is 65.

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    Solve 7x + 9 = 65: x = 8 (steps and check) | WordGPT