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Solve 9x + 7 = 106

The solution of 9x + 7 = 106 is x = 11.

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The lines y = 9x + 7 and y = 106 meet at x = 1168101214166080100120140160x = 11y = 9x + 7y = 106
The lines y = 9x + 7 and y = 106 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.

    9x+7=1069x + 7 = 106
  2. 2

    Subtract 7 from both sides:

    9x+7−7=106−7 ⇒ 9x=999x + 7 - 7 = 106 - 7 \ \Rightarrow\ 9x = 99
  3. 3

    Divide both sides by 9:

    9x9=999 ⇒ x=11\frac{9x}{9} = \frac{99}{9} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    9⋅11+7=99+7=106✓9\cdot11 + 7 = 99 + 7 = 106 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 7 = 106\ \Rightarrow\ x = 11 \]
\[ 9x + 7 = 106 \]
\[ 9x + 7 - 7 = 106 - 7 \ \Rightarrow\ 9x = 99 \]
\[ \frac{9x}{9} = \frac{99}{9} \ \Rightarrow\ x = 11 \]
\[ 9\cdot11 + 7 = 99 + 7 = 106 \checkmark \]

Trying values of x in 9x + 7 = 106

x9x + 7Equals 106?
988no
1097no
11106yes
12115no
13124no

Questions

What is x in 9x + 7 = 106?

The solution of 9x + 7 = 106 is x = 11.

How do you solve 9x + 7 = 106?

Subtract 7 from both sides to get 9x = 99, then divide both sides by 9 to get x = 11.

How do I check the answer?

Replace x by 11: 9(11) + 7 = 106, which is 106.

Similar equations

    Solve 9x + 7 = 106: x = 11 (steps and check) | WordGPT