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Solve 9x + 2 = 74

The solution of 9x + 2 = 74 is x = 8.

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The lines y = 9x + 2 and y = 74 meet at x = 8246810121420406080100120x = 8y = 9x + 2y = 74
The lines y = 9x + 2 and y = 74 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.

    9x+2=749x + 2 = 74
  2. 2

    Subtract 2 from both sides:

    9x+2−2=74−2 ⇒ 9x=729x + 2 - 2 = 74 - 2 \ \Rightarrow\ 9x = 72
  3. 3

    Divide both sides by 9:

    9x9=729 ⇒ x=8\frac{9x}{9} = \frac{72}{9} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    9⋅8+2=72+2=74✓9\cdot8 + 2 = 72 + 2 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 2 = 74\ \Rightarrow\ x = 8 \]
\[ 9x + 2 = 74 \]
\[ 9x + 2 - 2 = 74 - 2 \ \Rightarrow\ 9x = 72 \]
\[ \frac{9x}{9} = \frac{72}{9} \ \Rightarrow\ x = 8 \]
\[ 9\cdot8 + 2 = 72 + 2 = 74 \checkmark \]

Trying values of x in 9x + 2 = 74

x9x + 2Equals 74?
656no
765no
874yes
983no
1092no

Questions

What is x in 9x + 2 = 74?

The solution of 9x + 2 = 74 is x = 8.

How do you solve 9x + 2 = 74?

Subtract 2 from both sides to get 9x = 72, then divide both sides by 9 to get x = 8.

How do I check the answer?

Replace x by 8: 9(8) + 2 = 74, which is 74.

Similar equations

    Solve 9x + 2 = 74: x = 8 (steps and check) | WordGPT