Question
which value of x satisfies the equation start fraction, 5, divided by, 3, end fraction, left bracket, x, minus, start fraction, 3, divided by, 5, end fraction, right bracket, equals, minus, 16 3 5 %E2%80%8B (x− 5 3 %E2%80%8B )=−16?
Answers
GPT 3.5
To solve the equation, we first simplify the left side of the equation:
Start by multiplying both sides of the equation by the denominator of the fraction 5/3, which is 3:
3 * (5/3) * (x - (3/5)) = 3 * (-16)
This simplifies to:
5 * (x - (3/5)) = -48
Now we can distribute the 5 to both terms inside the parentheses:
5x - 3 = -48
Next, we can isolate the variable x by adding 3 to both sides of the equation:
5x = -48 + 3
Simplifying further:
5x = -45
Finally, we can solve for x by dividing both sides of the equation by 5:
x = -45/5
Simplifying the division:
x = -9
Therefore, the value of x that satisfies the equation is -9.
Start by multiplying both sides of the equation by the denominator of the fraction 5/3, which is 3:
3 * (5/3) * (x - (3/5)) = 3 * (-16)
This simplifies to:
5 * (x - (3/5)) = -48
Now we can distribute the 5 to both terms inside the parentheses:
5x - 3 = -48
Next, we can isolate the variable x by adding 3 to both sides of the equation:
5x = -48 + 3
Simplifying further:
5x = -45
Finally, we can solve for x by dividing both sides of the equation by 5:
x = -45/5
Simplifying the division:
x = -9
Therefore, the value of x that satisfies the equation is -9.