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Solve 7x + 6 = 69

The solution of 7x + 6 = 69 is x = 9.

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The lines y = 7x + 6 and y = 69 meet at x = 946810121420406080100x = 9y = 7x + 6y = 69
The lines y = 7x + 6 and y = 69 meet at x = 9. 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.

    7x+6=697x + 6 = 69
  2. 2

    Subtract 6 from both sides:

    7x+6−6=69−6 ⇒ 7x=637x + 6 - 6 = 69 - 6 \ \Rightarrow\ 7x = 63
  3. 3

    Divide both sides by 7:

    7x7=637 ⇒ x=9\frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    7⋅9+6=63+6=69✓7\cdot9 + 6 = 63 + 6 = 69 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 6 = 69\ \Rightarrow\ x = 9 \]
\[ 7x + 6 = 69 \]
\[ 7x + 6 - 6 = 69 - 6 \ \Rightarrow\ 7x = 63 \]
\[ \frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9 \]
\[ 7\cdot9 + 6 = 63 + 6 = 69 \checkmark \]

Trying values of x in 7x + 6 = 69

x7x + 6Equals 69?
755no
862no
969yes
1076no
1183no

Questions

What is x in 7x + 6 = 69?

The solution of 7x + 6 = 69 is x = 9.

How do you solve 7x + 6 = 69?

Subtract 6 from both sides to get 7x = 63, then divide both sides by 7 to get x = 9.

How do I check the answer?

Replace x by 9: 7(9) + 6 = 69, which is 69.

Similar equations

    Solve 7x + 6 = 69: x = 9 (steps and check) | WordGPT