x+5/8+3x/4=2/3+5x
Please show how you got the answer!
First isolate x, then solve!
for fiding the x term's coeeficient realize...
the coefficent for 3x/4 is 3/4 and for 5x it is 5 and for x it is 1.
To simplify the given equation, step-by-step, follow these instructions:
Step 1: Clear the fractions
To eliminate the fractions, you can multiply every term in the equation by the least common denominator (LCD) of all the fractions involved. In this case, the LCD is 8 times 4 times 3, which equals 96. Multiply every term by 96:
96(x) + 96(5/8) + 96(3x/4) = 96(2/3) + 96(5x)
The equation becomes:
96x + 15 + 72x = 64 + 480x
Step 2: Combine like terms
Combine the x terms on one side and the constant terms on the other side of the equation:
96x + 72x - 480x = 64 - 15
Simplifying further:
-312x = 49
Note: The equation has been simplified, but we haven't found the value of x yet. We now move to the next step.
Step 3: Solve for x
To solve for x, divide both sides of the equation by -312:
-312x / -312 = 49 / -312
This simplifies to:
x = -49 / 312
Now, we can simplify the fraction further. Dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1, gives the simplified form:
x = -49 / 312
So, the answer is x = -49 / 312.