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

Last updated date: 24th Mar 2023
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Hint: The given equation contains variable x on both sides. We have to perform basic algebraic
calculations to get x value.

The given equation is $$\dfrac{{3x}}{4} + 4x = \dfrac{7}{8} + 6x - 6$$
$$\Rightarrow 6x + 32x = 7 + 48x - 48$$
$$\Rightarrow 38x = 48x - 41$$
$$\Rightarrow 48x - 38x = 41$$
$$\Rightarrow 10x = 41$$
$$\Rightarrow x = \dfrac{{41}}{{10}}$$
$$\therefore$$ The value of $$x = \dfrac{{41}}{{10}}$$