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Solve 6x āˆ’ 15 = 99

The solution of 6x āˆ’ 15 = 99 is x = 19.

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The lines y = 6x āˆ’ 15 and y = 99 meet at x = 1914161820222460708090100110120130140x = 19y = 6x āˆ’ 15y = 99
The lines y = 6x āˆ’ 15 and y = 99 meet at x = 19. 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.

    6xāˆ’15=996x - 15 = 99
  2. 2

    Add 15 to both sides:

    6xāˆ’15+15=99+15Ā ā‡’Ā 6x=1146x - 15 + 15 = 99 + 15 \ \Rightarrow\ 6x = 114
  3. 3

    Divide both sides by 6:

    6x6=1146Ā ā‡’Ā x=19\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    6ā‹…19āˆ’15=114āˆ’15=99āœ“6\cdot19 - 15 = 114 - 15 = 99 \checkmark
LaTeX source of the formulas on this page
\[ 6x - 15 = 99\ \Rightarrow\ x = 19 \]
\[ 6x - 15 = 99 \]
\[ 6x - 15 + 15 = 99 + 15 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 - 15 = 114 - 15 = 99 \checkmark \]

Trying values of x in 6x āˆ’ 15 = 99

x6x āˆ’ 15Equals 99?
1787no
1893no
1999yes
20105no
21111no

Questions

What is x in 6x āˆ’ 15 = 99?

The solution of 6x āˆ’ 15 = 99 is x = 19.

How do you solve 6x āˆ’ 15 = 99?

Add 15 to both sides to get 6x = 114, then divide both sides by 6 to get x = 19.

How do I check the answer?

Replace x by 19: 6(19) āˆ’ 15 = 99, which is 99.

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    Solve 6x āˆ’ 15 = 99: x = 19 (steps and check) | WordGPT