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Solve 6x + 9 = 57

The solution of 6x + 9 = 57 is x = 8.

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The lines y = 6x + 9 and y = 57 meet at x = 824681012142030405060708090100x = 8y = 6x + 9y = 57
The lines y = 6x + 9 and y = 57 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.

    6x+9=576x + 9 = 57
  2. 2

    Subtract 9 from both sides:

    6x+9−9=57−9 ⇒ 6x=486x + 9 - 9 = 57 - 9 \ \Rightarrow\ 6x = 48
  3. 3

    Divide both sides by 6:

    6x6=486 ⇒ x=8\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    6⋅8+9=48+9=57✓6\cdot8 + 9 = 48 + 9 = 57 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 9 = 57\ \Rightarrow\ x = 8 \]
\[ 6x + 9 = 57 \]
\[ 6x + 9 - 9 = 57 - 9 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 + 9 = 48 + 9 = 57 \checkmark \]

Trying values of x in 6x + 9 = 57

x6x + 9Equals 57?
645no
751no
857yes
963no
1069no

Questions

What is x in 6x + 9 = 57?

The solution of 6x + 9 = 57 is x = 8.

How do you solve 6x + 9 = 57?

Subtract 9 from both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) + 9 = 57, which is 57.

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    Solve 6x + 9 = 57: x = 8 (steps and check) | WordGPT