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Solve 9x + 2 = 56

The solution of 9x + 2 = 56 is x = 6.

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The lines y = 9x + 2 and y = 56 meet at x = 62468101220406080100120x = 6y = 9x + 2y = 56
The lines y = 9x + 2 and y = 56 meet at x = 6. 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=569x + 2 = 56
  2. 2

    Subtract 2 from both sides:

    9x+2−2=56−2 ⇒ 9x=549x + 2 - 2 = 56 - 2 \ \Rightarrow\ 9x = 54
  3. 3

    Divide both sides by 9:

    9x9=549 ⇒ x=6\frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    9⋅6+2=54+2=56✓9\cdot6 + 2 = 54 + 2 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 2 = 56\ \Rightarrow\ x = 6 \]
\[ 9x + 2 = 56 \]
\[ 9x + 2 - 2 = 56 - 2 \ \Rightarrow\ 9x = 54 \]
\[ \frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6 \]
\[ 9\cdot6 + 2 = 54 + 2 = 56 \checkmark \]

Trying values of x in 9x + 2 = 56

x9x + 2Equals 56?
438no
547no
656yes
765no
874no

Questions

What is x in 9x + 2 = 56?

The solution of 9x + 2 = 56 is x = 6.

How do you solve 9x + 2 = 56?

Subtract 2 from both sides to get 9x = 54, then divide both sides by 9 to get x = 6.

How do I check the answer?

Replace x by 6: 9(6) + 2 = 56, which is 56.

Similar equations

    Solve 9x + 2 = 56: x = 6 (steps and check) | WordGPT