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Solve 7x + 15 = 106

The solution of 7x + 15 = 106 is x = 13.

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The lines y = 7x + 15 and y = 106 meet at x = 13810121416186080100120140x = 13y = 7x + 15y = 106
The lines y = 7x + 15 and y = 106 meet at x = 13. 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+15=1067x + 15 = 106
  2. 2

    Subtract 15 from both sides:

    7x+15−15=106−15 ⇒ 7x=917x + 15 - 15 = 106 - 15 \ \Rightarrow\ 7x = 91
  3. 3

    Divide both sides by 7:

    7x7=917 ⇒ x=13\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    7⋅13+15=91+15=106✓7\cdot13 + 15 = 91 + 15 = 106 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 15 = 106\ \Rightarrow\ x = 13 \]
\[ 7x + 15 = 106 \]
\[ 7x + 15 - 15 = 106 - 15 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 + 15 = 91 + 15 = 106 \checkmark \]

Trying values of x in 7x + 15 = 106

x7x + 15Equals 106?
1192no
1299no
13106yes
14113no
15120no

Questions

What is x in 7x + 15 = 106?

The solution of 7x + 15 = 106 is x = 13.

How do you solve 7x + 15 = 106?

Subtract 15 from both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) + 15 = 106, which is 106.

Similar equations

    Solve 7x + 15 = 106: x = 13 (steps and check) | WordGPT