Find the value of x, if $$\dfrac{{3x}}{4} + 4x = \dfrac{7}{8} + 6x - 6$$

Hint: The given equation contains variable x on both sides. We have to perform basic algebraic
calculations to get x value.

Complete step-by-step answer:
The given equation is $$\dfrac{{3x}}{4} + 4x = \dfrac{7}{8} + 6x - 6$$
Multiplying the above equation with ‘8’ on both sides for simplification
$$ \Rightarrow 6x + 32x = 7 + 48x - 48$$
On further simplification,

$$ \Rightarrow 38x = 48x - 41$$
$$ \Rightarrow 48x - 38x = 41$$
$$ \Rightarrow 10x = 41$$
$$ \Rightarrow x = \dfrac{{41}}{{10}}$$
$$\therefore $$ The value of $$x = \dfrac{{41}}{{10}}$$

Note: We can easily solve this kind of single variable equation by taking all variable terms on one side and all constant terms on the other side, we will get the variable value by performing simple algebraic
calculations.