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Solve 7x + 14 = 77

The solution of 7x + 14 = 77 is x = 9.

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The lines y = 7x + 14 and y = 77 meet at x = 9468101214406080100120x = 9y = 7x + 14y = 77
The lines y = 7x + 14 and y = 77 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+14=777x + 14 = 77
  2. 2

    Subtract 14 from both sides:

    7x+14−14=77−14 ⇒ 7x=637x + 14 - 14 = 77 - 14 \ \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+14=63+14=77✓7\cdot9 + 14 = 63 + 14 = 77 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 77\ \Rightarrow\ x = 9 \]
\[ 7x + 14 = 77 \]
\[ 7x + 14 - 14 = 77 - 14 \ \Rightarrow\ 7x = 63 \]
\[ \frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9 \]
\[ 7\cdot9 + 14 = 63 + 14 = 77 \checkmark \]

Trying values of x in 7x + 14 = 77

x7x + 14Equals 77?
763no
870no
977yes
1084no
1191no

Questions

What is x in 7x + 14 = 77?

The solution of 7x + 14 = 77 is x = 9.

How do you solve 7x + 14 = 77?

Subtract 14 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) + 14 = 77, which is 77.

Similar equations

    Solve 7x + 14 = 77: x = 9 (steps and check) | WordGPT