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Solve 7x + 15 = 92

The solution of 7x + 15 = 92 is x = 11.

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The lines y = 7x + 15 and y = 92 meet at x = 1168101214166080100120140x = 11y = 7x + 15y = 92
The lines y = 7x + 15 and y = 92 meet at x = 11. 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=927x + 15 = 92
  2. 2

    Subtract 15 from both sides:

    7x+15−15=92−15 ⇒ 7x=777x + 15 - 15 = 92 - 15 \ \Rightarrow\ 7x = 77
  3. 3

    Divide both sides by 7:

    7x7=777 ⇒ x=11\frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    7⋅11+15=77+15=92✓7\cdot11 + 15 = 77 + 15 = 92 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 15 = 92\ \Rightarrow\ x = 11 \]
\[ 7x + 15 = 92 \]
\[ 7x + 15 - 15 = 92 - 15 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 15 = 77 + 15 = 92 \checkmark \]

Trying values of x in 7x + 15 = 92

x7x + 15Equals 92?
978no
1085no
1192yes
1299no
13106no

Questions

What is x in 7x + 15 = 92?

The solution of 7x + 15 = 92 is x = 11.

How do you solve 7x + 15 = 92?

Subtract 15 from both sides to get 7x = 77, then divide both sides by 7 to get x = 11.

How do I check the answer?

Replace x by 11: 7(11) + 15 = 92, which is 92.

Similar equations

    Solve 7x + 15 = 92: x = 11 (steps and check) | WordGPT