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Solve 7x + 9 = 107

The solution of 7x + 9 = 107 is x = 14.

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The lines y = 7x + 9 and y = 107 meet at x = 1481012141618206080100120140x = 14y = 7x + 9y = 107
The lines y = 7x + 9 and y = 107 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+9=1077x + 9 = 107
  2. 2

    Subtract 9 from both sides:

    7x+9−9=107−9 ⇒ 7x=987x + 9 - 9 = 107 - 9 \ \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+9=98+9=107✓7\cdot14 + 9 = 98 + 9 = 107 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 9 = 107\ \Rightarrow\ x = 14 \]
\[ 7x + 9 = 107 \]
\[ 7x + 9 - 9 = 107 - 9 \ \Rightarrow\ 7x = 98 \]
\[ \frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14 \]
\[ 7\cdot14 + 9 = 98 + 9 = 107 \checkmark \]

Trying values of x in 7x + 9 = 107

x7x + 9Equals 107?
1293no
13100no
14107yes
15114no
16121no

Questions

What is x in 7x + 9 = 107?

The solution of 7x + 9 = 107 is x = 14.

How do you solve 7x + 9 = 107?

Subtract 9 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) + 9 = 107, which is 107.

Similar equations

    Solve 7x + 9 = 107: x = 14 (steps and check) | WordGPT