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Solve 7x + 6 = 111

The solution of 7x + 6 = 111 is x = 15.

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The lines y = 7x + 6 and y = 111 meet at x = 1510121416182080100120140160x = 15y = 7x + 6y = 111
The lines y = 7x + 6 and y = 111 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+6=1117x + 6 = 111
  2. 2

    Subtract 6 from both sides:

    7x+6−6=111−6 ⇒ 7x=1057x + 6 - 6 = 111 - 6 \ \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+6=105+6=111✓7\cdot15 + 6 = 105 + 6 = 111 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 6 = 111\ \Rightarrow\ x = 15 \]
\[ 7x + 6 = 111 \]
\[ 7x + 6 - 6 = 111 - 6 \ \Rightarrow\ 7x = 105 \]
\[ \frac{7x}{7} = \frac{105}{7} \ \Rightarrow\ x = 15 \]
\[ 7\cdot15 + 6 = 105 + 6 = 111 \checkmark \]

Trying values of x in 7x + 6 = 111

x7x + 6Equals 111?
1397no
14104no
15111yes
16118no
17125no

Questions

What is x in 7x + 6 = 111?

The solution of 7x + 6 = 111 is x = 15.

How do you solve 7x + 6 = 111?

Subtract 6 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) + 6 = 111, which is 111.

Similar equations

    Solve 7x + 6 = 111: x = 15 (steps and check) | WordGPT