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What is the solution to this equation?

[tex]\[ -15x = 90 \][/tex]

A. [tex]\( x = 105 \)[/tex]
B. [tex]\( x = 6 \)[/tex]
C. [tex]\( x = -105 \)[/tex]
D. [tex]\( x = -6 \)[/tex]


Sagot :

To solve the equation [tex]\(-15x = 90\)[/tex], follow these steps:

1. Isolate [tex]\( x \)[/tex]:
To isolate the variable [tex]\( x \)[/tex], you need to divide both sides of the equation by -15. This allows you to simplify the equation and solve for [tex]\( x \)[/tex].

2. Divide both sides:
[tex]\[ x = \frac{90}{-15} \][/tex]

3. Simplify the right-hand side:
[tex]\[ x = -6 \][/tex]

Thus, the solution to the equation [tex]\(-15x = 90\)[/tex] is [tex]\( x = -6 \)[/tex].

The correct answer is:
D. [tex]\( x = -6 \)[/tex]