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Solve 6x + 9 = 45

The solution of 6x + 9 = 45 is x = 6.

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The lines y = 6x + 9 and y = 45 meet at x = 6246810121020304050607080x = 6y = 6x + 9y = 45
The lines y = 6x + 9 and y = 45 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.

    6x+9=456x + 9 = 45
  2. 2

    Subtract 9 from both sides:

    6x+9−9=45−9 ⇒ 6x=366x + 9 - 9 = 45 - 9 \ \Rightarrow\ 6x = 36
  3. 3

    Divide both sides by 6:

    6x6=366 ⇒ x=6\frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    6⋅6+9=36+9=45✓6\cdot6 + 9 = 36 + 9 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 9 = 45\ \Rightarrow\ x = 6 \]
\[ 6x + 9 = 45 \]
\[ 6x + 9 - 9 = 45 - 9 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 + 9 = 36 + 9 = 45 \checkmark \]

Trying values of x in 6x + 9 = 45

x6x + 9Equals 45?
433no
539no
645yes
751no
857no

Questions

What is x in 6x + 9 = 45?

The solution of 6x + 9 = 45 is x = 6.

How do you solve 6x + 9 = 45?

Subtract 9 from both sides to get 6x = 36, then divide both sides by 6 to get x = 6.

How do I check the answer?

Replace x by 6: 6(6) + 9 = 45, which is 45.

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    Solve 6x + 9 = 45: x = 6 (steps and check) | WordGPT