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If m is a constant, what value for m makes the equation 12x + 18 = 2(6x + m) – 6 true for any x?

User DanGar
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Final answer:

The value of m that makes the equation 12x + 18 = 2(6x + m) – 6 true for any x is 12.

Step-by-step explanation:

To determine the value of m that makes the equation 12x + 18 = 2(6x + m) – 6 true for any x, we first expand the right side of the equation:

12x + 18 = 12x + 2m – 6.

Now we simplify and solve for m.

18 + 6 = 2m,

24 = 2m.

Finally, we divide by 2 to find m:

m = 12.

Thus, the value of m that satisfies the equation for any x is 12.

User BradByte
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