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Solve 6x + 9 = 75

The solution of 6x + 9 = 75 is x = 11.

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The lines y = 6x + 9 and y = 75 meet at x = 116810121416405060708090100110x = 11y = 6x + 9y = 75
The lines y = 6x + 9 and y = 75 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.

    6x+9=756x + 9 = 75
  2. 2

    Subtract 9 from both sides:

    6x+9−9=75−9 ⇒ 6x=666x + 9 - 9 = 75 - 9 \ \Rightarrow\ 6x = 66
  3. 3

    Divide both sides by 6:

    6x6=666 ⇒ x=11\frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    6⋅11+9=66+9=75✓6\cdot11 + 9 = 66 + 9 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 9 = 75\ \Rightarrow\ x = 11 \]
\[ 6x + 9 = 75 \]
\[ 6x + 9 - 9 = 75 - 9 \ \Rightarrow\ 6x = 66 \]
\[ \frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11 \]
\[ 6\cdot11 + 9 = 66 + 9 = 75 \checkmark \]

Trying values of x in 6x + 9 = 75

x6x + 9Equals 75?
963no
1069no
1175yes
1281no
1387no

Questions

What is x in 6x + 9 = 75?

The solution of 6x + 9 = 75 is x = 11.

How do you solve 6x + 9 = 75?

Subtract 9 from both sides to get 6x = 66, then divide both sides by 6 to get x = 11.

How do I check the answer?

Replace x by 11: 6(11) + 9 = 75, which is 75.

Similar equations

    Solve 6x + 9 = 75: x = 11 (steps and check) | WordGPT