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Solve 9x + 6 = 114

The solution of 9x + 6 = 114 is x = 12.

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The lines y = 9x + 6 and y = 114 meet at x = 126810121416186080100120140160x = 12y = 9x + 6y = 114
The lines y = 9x + 6 and y = 114 meet at x = 12. 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+6=1149x + 6 = 114
  2. 2

    Subtract 6 from both sides:

    9x+6−6=114−6 ⇒ 9x=1089x + 6 - 6 = 114 - 6 \ \Rightarrow\ 9x = 108
  3. 3

    Divide both sides by 9:

    9x9=1089 ⇒ x=12\frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    9⋅12+6=108+6=114✓9\cdot12 + 6 = 108 + 6 = 114 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 6 = 114\ \Rightarrow\ x = 12 \]
\[ 9x + 6 = 114 \]
\[ 9x + 6 - 6 = 114 - 6 \ \Rightarrow\ 9x = 108 \]
\[ \frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12 \]
\[ 9\cdot12 + 6 = 108 + 6 = 114 \checkmark \]

Trying values of x in 9x + 6 = 114

x9x + 6Equals 114?
1096no
11105no
12114yes
13123no
14132no

Questions

What is x in 9x + 6 = 114?

The solution of 9x + 6 = 114 is x = 12.

How do you solve 9x + 6 = 114?

Subtract 6 from both sides to get 9x = 108, then divide both sides by 9 to get x = 12.

How do I check the answer?

Replace x by 12: 9(12) + 6 = 114, which is 114.

Similar equations

    Solve 9x + 6 = 114: x = 12 (steps and check) | WordGPT