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Solve 7x + 13 = 111

The solution of 7x + 13 = 111 is x = 14.

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The lines y = 7x + 13 and y = 111 meet at x = 14810121416182080100120140160x = 14y = 7x + 13y = 111
The lines y = 7x + 13 and y = 111 meet at x = 14. 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+13=1117x + 13 = 111
  2. 2

    Subtract 13 from both sides:

    7x+13−13=111−13 ⇒ 7x=987x + 13 - 13 = 111 - 13 \ \Rightarrow\ 7x = 98
  3. 3

    Divide both sides by 7:

    7x7=987 ⇒ x=14\frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    7⋅14+13=98+13=111✓7\cdot14 + 13 = 98 + 13 = 111 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 13 = 111\ \Rightarrow\ x = 14 \]
\[ 7x + 13 = 111 \]
\[ 7x + 13 - 13 = 111 - 13 \ \Rightarrow\ 7x = 98 \]
\[ \frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14 \]
\[ 7\cdot14 + 13 = 98 + 13 = 111 \checkmark \]

Trying values of x in 7x + 13 = 111

x7x + 13Equals 111?
1297no
13104no
14111yes
15118no
16125no

Questions

What is x in 7x + 13 = 111?

The solution of 7x + 13 = 111 is x = 14.

How do you solve 7x + 13 = 111?

Subtract 13 from both sides to get 7x = 98, then divide both sides by 7 to get x = 14.

How do I check the answer?

Replace x by 14: 7(14) + 13 = 111, which is 111.

Similar equations

    Solve 7x + 13 = 111: x = 14 (steps and check) | WordGPT