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Solve 12x + 9 = 105

The solution of 12x + 9 = 105 is x = 8.

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The lines y = 12x + 9 and y = 105 meet at x = 8246810121420406080100120140160180x = 8y = 12x + 9y = 105
The lines y = 12x + 9 and y = 105 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.

    12x+9=10512x + 9 = 105
  2. 2

    Subtract 9 from both sides:

    12x+9−9=105−9 ⇒ 12x=9612x + 9 - 9 = 105 - 9 \ \Rightarrow\ 12x = 96
  3. 3

    Divide both sides by 12:

    12x12=9612 ⇒ x=8\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    12⋅8+9=96+9=105✓12\cdot8 + 9 = 96 + 9 = 105 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 9 = 105\ \Rightarrow\ x = 8 \]
\[ 12x + 9 = 105 \]
\[ 12x + 9 - 9 = 105 - 9 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 + 9 = 96 + 9 = 105 \checkmark \]

Trying values of x in 12x + 9 = 105

x12x + 9Equals 105?
681no
793no
8105yes
9117no
10129no

Questions

What is x in 12x + 9 = 105?

The solution of 12x + 9 = 105 is x = 8.

How do you solve 12x + 9 = 105?

Subtract 9 from both sides to get 12x = 96, then divide both sides by 12 to get x = 8.

How do I check the answer?

Replace x by 8: 12(8) + 9 = 105, which is 105.

Similar equations

    Solve 12x + 9 = 105: x = 8 (steps and check) | WordGPT