Lets get started :)
[tex] \frac{3}{4} [/tex]x + 4 = [tex] \frac{5}{8} [/tex]
We subtract 4 on each side
[tex] \frac{3}{4}x + 4 ( - 4 ) = \frac{5}{8} (- 4 )[/tex]
+ 4 and - 4 cancels out
[tex] \frac{3}{4} x = \frac{5}{8} - 4[/tex]
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
[tex] \frac{3}{4}x = \frac{5}{8} - \frac{4x8}{1x8}
[/tex]
[tex] \frac{3}{4} x = \frac{5}{8} - \frac{32}{8} [/tex]
[tex] \frac{3}{4}x = - \frac{27}{8} [/tex]
And now we divide either sides by [tex] \frac{3}{4} [/tex] to find the value of x
(Dividing by a fraction also means multiplying by its reciprocal)
[tex] \frac{3}{4}x [/tex] ÷ [tex] \frac{3}{4} [/tex] = [tex]- \frac{27}{8} [/tex] ÷ [tex] \frac{3}{4} [/tex]
x = [tex] -\frac{9}{2} [/tex]
