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Solve 9x + 12 = 102

The solution of 9x + 12 = 102 is x = 10.

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The lines y = 9x + 12 and y = 102 meet at x = 1046810121416406080100120140160x = 10y = 9x + 12y = 102
The lines y = 9x + 12 and y = 102 meet at x = 10. 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.

    9x+12=1029x + 12 = 102
  2. 2

    Subtract 12 from both sides:

    9x+12−12=102−12 ⇒ 9x=909x + 12 - 12 = 102 - 12 \ \Rightarrow\ 9x = 90
  3. 3

    Divide both sides by 9:

    9x9=909 ⇒ x=10\frac{9x}{9} = \frac{90}{9} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    9⋅10+12=90+12=102✓9\cdot10 + 12 = 90 + 12 = 102 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 12 = 102\ \Rightarrow\ x = 10 \]
\[ 9x + 12 = 102 \]
\[ 9x + 12 - 12 = 102 - 12 \ \Rightarrow\ 9x = 90 \]
\[ \frac{9x}{9} = \frac{90}{9} \ \Rightarrow\ x = 10 \]
\[ 9\cdot10 + 12 = 90 + 12 = 102 \checkmark \]

Trying values of x in 9x + 12 = 102

x9x + 12Equals 102?
884no
993no
10102yes
11111no
12120no

Questions

What is x in 9x + 12 = 102?

The solution of 9x + 12 = 102 is x = 10.

How do you solve 9x + 12 = 102?

Subtract 12 from both sides to get 9x = 90, then divide both sides by 9 to get x = 10.

How do I check the answer?

Replace x by 10: 9(10) + 12 = 102, which is 102.

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    Solve 9x + 12 = 102: x = 10 (steps and check) | WordGPT