Solve for x in the equation 8/11(x + 4/5) = 24/55 (1 point)

Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To solve for x, first distribute 8/11 to both terms inside the parentheses:

8/11(x) + 8/11(4/5) = 24/55.

This simplifies to:
(8/11)x + 32/55 = 24/55.

Next, subtract 32/55 from both sides of the equation:
(8/11)x = 24/55 - 32/55.

Simplifying the right side gives:
(8/11)x = -8/55.

Now, multiply both sides of the equation by the reciprocal of 8/11, which is 11/8:
(11/8)(8/11)x = (11/8)(-8/55).

This reduces to:
x = -88/440.

Finally, simplify the fraction:
x = -1/5.

Therefore, x is equal to -1/5 or -0.2.

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