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What would you do to isolate the variable in the equation below, using only one step?

[tex]\[ x + 3 = -12 \][/tex]

A. Subtract 3 from both sides of the equation.
B. Subtract 12 from both sides of the equation.
C. Add 12 to both sides of the equation.
D. Add 3 to both sides of the equation.

Sagot :

GinnyAnsweridn
To isolate the variable [tex]\( x \)[/tex] in the equation
[tex]\[ x + 3 = -12, \][/tex]
we need to eliminate the constant term on the same side as [tex]\( x \)[/tex].

Currently, the constant term is [tex]\( +3 \)[/tex]. To get rid of this term, we should perform an operation that cancels it out, which would be subtracting 3 from both sides of the equation. This operation helps in isolating [tex]\( x \)[/tex] on one side.

So the correct one-step solution is:
[tex]\[ \text{Subtract 3 from both sides of the equation.} \][/tex]

By doing this, the equation becomes:
[tex]\[ x + 3 - 3 = -12 - 3, \][/tex]
which simplifies to:
[tex]\[ x = -15. \][/tex]

Thus, the variable [tex]\( x \)[/tex] has been successfully isolated.
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