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Solve 7x + 4 = 109

The solution of 7x + 4 = 109 is x = 15.

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The lines y = 7x + 4 and y = 109 meet at x = 151012141618206080100120140x = 15y = 7x + 4y = 109
The lines y = 7x + 4 and y = 109 meet at x = 15. 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+4=1097x + 4 = 109
  2. 2

    Subtract 4 from both sides:

    7x+4−4=109−4 ⇒ 7x=1057x + 4 - 4 = 109 - 4 \ \Rightarrow\ 7x = 105
  3. 3

    Divide both sides by 7:

    7x7=1057 ⇒ x=15\frac{7x}{7} = \frac{105}{7} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    7⋅15+4=105+4=109✓7\cdot15 + 4 = 105 + 4 = 109 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 4 = 109\ \Rightarrow\ x = 15 \]
\[ 7x + 4 = 109 \]
\[ 7x + 4 - 4 = 109 - 4 \ \Rightarrow\ 7x = 105 \]
\[ \frac{7x}{7} = \frac{105}{7} \ \Rightarrow\ x = 15 \]
\[ 7\cdot15 + 4 = 105 + 4 = 109 \checkmark \]

Trying values of x in 7x + 4 = 109

x7x + 4Equals 109?
1395no
14102no
15109yes
16116no
17123no

Questions

What is x in 7x + 4 = 109?

The solution of 7x + 4 = 109 is x = 15.

How do you solve 7x + 4 = 109?

Subtract 4 from both sides to get 7x = 105, then divide both sides by 7 to get x = 15.

How do I check the answer?

Replace x by 15: 7(15) + 4 = 109, which is 109.

Similar equations

    Solve 7x + 4 = 109: x = 15 (steps and check) | WordGPT