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Solve 8x + 7 = 127

The solution of 8x + 7 = 127 is x = 15.

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The lines y = 8x + 7 and y = 127 meet at x = 1510121416182080100120140160180x = 15y = 8x + 7y = 127
The lines y = 8x + 7 and y = 127 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.

    8x+7=1278x + 7 = 127
  2. 2

    Subtract 7 from both sides:

    8x+7−7=127−7 ⇒ 8x=1208x + 7 - 7 = 127 - 7 \ \Rightarrow\ 8x = 120
  3. 3

    Divide both sides by 8:

    8x8=1208 ⇒ x=15\frac{8x}{8} = \frac{120}{8} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    8⋅15+7=120+7=127✓8\cdot15 + 7 = 120 + 7 = 127 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 7 = 127\ \Rightarrow\ x = 15 \]
\[ 8x + 7 = 127 \]
\[ 8x + 7 - 7 = 127 - 7 \ \Rightarrow\ 8x = 120 \]
\[ \frac{8x}{8} = \frac{120}{8} \ \Rightarrow\ x = 15 \]
\[ 8\cdot15 + 7 = 120 + 7 = 127 \checkmark \]

Trying values of x in 8x + 7 = 127

x8x + 7Equals 127?
13111no
14119no
15127yes
16135no
17143no

Questions

What is x in 8x + 7 = 127?

The solution of 8x + 7 = 127 is x = 15.

How do you solve 8x + 7 = 127?

Subtract 7 from both sides to get 8x = 120, then divide both sides by 8 to get x = 15.

How do I check the answer?

Replace x by 15: 8(15) + 7 = 127, which is 127.

Similar equations

    Solve 8x + 7 = 127: x = 15 (steps and check) | WordGPT