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Solve 10x + 7 = 137

The solution of 10x + 7 = 137 is x = 13.

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The lines y = 10x + 7 and y = 137 meet at x = 138101214161880100120140160180200x = 13y = 10x + 7y = 137
The lines y = 10x + 7 and y = 137 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.

    10x+7=13710x + 7 = 137
  2. 2

    Subtract 7 from both sides:

    10x+7−7=137−7 ⇒ 10x=13010x + 7 - 7 = 137 - 7 \ \Rightarrow\ 10x = 130
  3. 3

    Divide both sides by 10:

    10x10=13010 ⇒ x=13\frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    10⋅13+7=130+7=137✓10\cdot13 + 7 = 130 + 7 = 137 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 7 = 137\ \Rightarrow\ x = 13 \]
\[ 10x + 7 = 137 \]
\[ 10x + 7 - 7 = 137 - 7 \ \Rightarrow\ 10x = 130 \]
\[ \frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13 \]
\[ 10\cdot13 + 7 = 130 + 7 = 137 \checkmark \]

Trying values of x in 10x + 7 = 137

x10x + 7Equals 137?
11117no
12127no
13137yes
14147no
15157no

Questions

What is x in 10x + 7 = 137?

The solution of 10x + 7 = 137 is x = 13.

How do you solve 10x + 7 = 137?

Subtract 7 from both sides to get 10x = 130, then divide both sides by 10 to get x = 13.

How do I check the answer?

Replace x by 13: 10(13) + 7 = 137, which is 137.

Similar equations

    Solve 10x + 7 = 137: x = 13 (steps and check) | WordGPT