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Solve 10x + 7 = 127

The solution of 10x + 7 = 127 is x = 12.

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The lines y = 10x + 7 and y = 127 meet at x = 126810121416186080100120140160180x = 12y = 10x + 7y = 127
The lines y = 10x + 7 and y = 127 meet at x = 12. 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.

    10x+7=12710x + 7 = 127
  2. 2

    Subtract 7 from both sides:

    10x+7−7=127−7 ⇒ 10x=12010x + 7 - 7 = 127 - 7 \ \Rightarrow\ 10x = 120
  3. 3

    Divide both sides by 10:

    10x10=12010 ⇒ x=12\frac{10x}{10} = \frac{120}{10} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    10⋅12+7=120+7=127✓10\cdot12 + 7 = 120 + 7 = 127 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 7 = 127\ \Rightarrow\ x = 12 \]
\[ 10x + 7 = 127 \]
\[ 10x + 7 - 7 = 127 - 7 \ \Rightarrow\ 10x = 120 \]
\[ \frac{10x}{10} = \frac{120}{10} \ \Rightarrow\ x = 12 \]
\[ 10\cdot12 + 7 = 120 + 7 = 127 \checkmark \]

Trying values of x in 10x + 7 = 127

x10x + 7Equals 127?
10107no
11117no
12127yes
13137no
14147no

Questions

What is x in 10x + 7 = 127?

The solution of 10x + 7 = 127 is x = 12.

How do you solve 10x + 7 = 127?

Subtract 7 from both sides to get 10x = 120, then divide both sides by 10 to get x = 12.

How do I check the answer?

Replace x by 12: 10(12) + 7 = 127, which is 127.

Similar equations

    Solve 10x + 7 = 127: x = 12 (steps and check) | WordGPT