x÷4-30=x÷32/5
x / 4 - 30 = ( x / 32 ) / 5
x / 4 - 30 = x / ( 32 * 5 )
x / 4 - 30 = x / 160
40 x / 160 - 30 = x / 160
40 x / 160 - x / 160 = 30
39 x / 160 = 30 Multiply both sides by 160
39 x = 30 * 160
39 x = 4800 Divide both sides by 35
x = 4800 / 39
x = 3 * 1600 / ( 3 * 13 )
x = 1600 / 13
x = 123.076923
x÷4-30=x÷32/5
or
x/4- 30 = x(5/32)
multiply each term by 32
8x - 960 =5x
3x = 960
x = 320
check:
LS =320/4 - 30 = 50
RS = (320) ÷ (32/5) = 320 (5/32) = 50 = LS
my answer of x = 320 is correct.
To solve the given equation x÷4 - 30 = x÷32/5, we can begin by getting rid of the fractions.
First, let's simplify x÷32/5. To simplify a fraction, we can multiply the numerator by the reciprocal of the denominator. The reciprocal of 32/5 is 5/32. Therefore, x÷32/5 can be rewritten as x * 5/32.
So, the equation becomes x÷4 - 30 = x * 5/32.
To simplify further, we need to have the same denominator for both terms on the left side of the equation. The least common denominator of 4 and 32 is 32.
Now, let's rewrite the equation using the common denominator of 32:
(32 * (x÷4)) / 32 - 30 = x * 5/32.
By simplifying the left side:
8x/32 - 30 = x * 5/32.
Next, let's clear the fractions by multiplying every term with the common denominator, 32, which will cancel out the fractions:
(8x/32) * 32 - 30 * 32 = (x * 5/32) * 32.
Simplifying further:
8x - 960 = 5x.
To isolate the x term, let's move the 5x term to the left side of the equation by subtracting 5x from both sides:
8x - 5x - 960 = 0.
Combining like terms:
3x - 960 = 0.
To solve for x, we'll add 960 to both sides of the equation:
3x - 960 + 960 = 0 + 960.
Simplifying further:
3x = 960.
Finally, to find the value of x, let's divide both sides of the equation by 3:
3x/3 = 960/3.
The final answer is:
x = 320.