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Solve 7x + 14 = 91

The solution of 7x + 14 = 91 is x = 11.

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The lines y = 7x + 14 and y = 91 meet at x = 1168101214166080100120140x = 11y = 7x + 14y = 91
The lines y = 7x + 14 and y = 91 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.

    7x+14=917x + 14 = 91
  2. 2

    Subtract 14 from both sides:

    7x+14−14=91−14 ⇒ 7x=777x + 14 - 14 = 91 - 14 \ \Rightarrow\ 7x = 77
  3. 3

    Divide both sides by 7:

    7x7=777 ⇒ x=11\frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    7⋅11+14=77+14=91✓7\cdot11 + 14 = 77 + 14 = 91 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 91\ \Rightarrow\ x = 11 \]
\[ 7x + 14 = 91 \]
\[ 7x + 14 - 14 = 91 - 14 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 14 = 77 + 14 = 91 \checkmark \]

Trying values of x in 7x + 14 = 91

x7x + 14Equals 91?
977no
1084no
1191yes
1298no
13105no

Questions

What is x in 7x + 14 = 91?

The solution of 7x + 14 = 91 is x = 11.

How do you solve 7x + 14 = 91?

Subtract 14 from both sides to get 7x = 77, then divide both sides by 7 to get x = 11.

How do I check the answer?

Replace x by 11: 7(11) + 14 = 91, which is 91.

Similar equations

    Solve 7x + 14 = 91: x = 11 (steps and check) | WordGPT