Question

What is the value of x in the equation 3/4x+4=5/8

Answer 1

$\frac{3x}{4} +4= \frac{5}{8}$
Multiply both sides by 8.
2(3x) + 8(4)= 5
6x+32=5
Subtract 32 from both sides
6x=-27
Divide both sides by 6.
x=-27/6
Simplify
x=-9/2

Answer: x=-9/2

Answer 2

Lets get started :)
$\frac{3}{4}$x + 4 = $\frac{5}{8}$
We subtract 4 on each side

$\frac{3}{4}x + 4 ( - 4 ) = \frac{5}{8} (- 4 )$
+ 4 and - 4 cancels out

$\frac{3}{4} x = \frac{5}{8} - 4$
Here, we face a little problem
We need to change 4 into a fraction with same denominator in order to perform subtraction
the denominator of 4 is 1 and 1 x 8 = 8, so we multiply numerator and denominator by 8

$\frac{3}{4}x = \frac{5}{8} - \frac{4x8}{1x8}$

$\frac{3}{4} x = \frac{5}{8} - \frac{32}{8}$

$\frac{3}{4}x = - \frac{27}{8}$
And now we divide either sides by $\frac{3}{4}$ to find the value of x
(Dividing by a fraction also means multiplying by its reciprocal)

$\frac{3}{4}x$ ÷ $\frac{3}{4}$ = $- \frac{27}{8}$ ÷ $\frac{3}{4}$

x = $-\frac{9}{2}$