How do you solve #21( 18- x ) = 15( 5x + 1)#?

Answer 1

Ethan Adkins

#x = 121/32 = 3.78125#

Solve: #21(18-x) = 15(5x+1)#

Distribute both sides: #378 - 21x = 75x + 15#

Put #x#'s on one side of the equation and the constants on the other: #378 - 15 -21x + 21x = 75x +21x +15 - 15#

Simplify: #363 = 96x#

Divide both sides by #96#: #x = 363/96 = 121/32#

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Answer 2

Julia Adams

To solve the equation 21(18 - x) = 15(5x + 1), first distribute the numbers inside the parentheses:

21 * 18 - 21 * x = 15 * 5x + 15 * 1

Now, simplify both sides of the equation:

378 - 21x = 75x + 15

Next, move all the terms involving x to one side of the equation and the constants to the other side:

378 - 15 = 75x + 21x

363 = 96x

Now, divide both sides by 96 to isolate x:

x = 363 / 96

x = 3.78125

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.