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Solve 10x āˆ’ 12 = 188

The solution of 10x āˆ’ 12 = 188 is x = 20.

The lines y = 10x āˆ’ 12 and y = 188 meet at x = 2014161820222426120140160180200220240260x = 20y = 10x āˆ’ 12y = 188
The lines y = 10x āˆ’ 12 and y = 188 meet at x = 20. 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 subtraction, then the multiplication.

    10xāˆ’12=18810x - 12 = 188
  2. 2

    Add 12 to both sides:

    10xāˆ’12+12=188+12 ⇒ 10x=20010x - 12 + 12 = 188 + 12 \ \Rightarrow\ 10x = 200
  3. 3

    Divide both sides by 10:

    10x10=20010 ⇒ x=20\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    10ā‹…20āˆ’12=200āˆ’12=188āœ“10\cdot20 - 12 = 200 - 12 = 188 \checkmark
LaTeX source of the formulas on this page
\[ 10x - 12 = 188\ \Rightarrow\ x = 20 \]
\[ 10x - 12 = 188 \]
\[ 10x - 12 + 12 = 188 + 12 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 - 12 = 200 - 12 = 188 \checkmark \]

Trying values of x in 10x āˆ’ 12 = 188

x10x āˆ’ 12Equals 188?
18168no
19178no
20188yes
21198no
22208no

Questions

What is x in 10x āˆ’ 12 = 188?

The solution of 10x āˆ’ 12 = 188 is x = 20.

How do you solve 10x āˆ’ 12 = 188?

Add 12 to both sides to get 10x = 200, then divide both sides by 10 to get x = 20.

How do I check the answer?

Replace x by 20: 10(20) āˆ’ 12 = 188, which is 188.

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