4x - 12 + 3x = 5 + 7x - 17 never true, sometimes true, or always true?

Explanation:

On the left side we have 4x+3x turn into 7x. The -12 stays as it is because it has nothing to pair with. The left side simplifies to 7x-12

The right side simplifies to 7x-12 as well because the like terms 5 and -17 combine to 5+(-17) = 5-17 = -12.

The original equation 4x-12+3x = 5+7x-17 has both sides simplify to 7x-12=7x-12. Both sides are identical which makes the original equation always true. No matter what number you replace x with, both sides will be the same result.

For instance, let's try x = 0

4x - 12 + 3x = 5 + 7x - 17

4(0) - 12 + 3(0) = 5 + 7(0) - 17

0 - 12 + 0 = 5 + 0 - 17

-12 = -12

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step-by-step explanation:

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f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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