Question

3(5x-6)/4+ 2 = 4x
please help​

Answer 1

$\color{red}\large\underline{\underline{Question:}}$

$\dfrac{3(5x - 6)}{4} + 2 = 4x$

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$\color{purple}\large\underline{\underline{To\:Find:}}$

$\underline\mathtt{The\:value\:of\:x}$

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$\color{blue}\large\underline{\underline{Concept:}}$

$\text{By putting the like terms together , i.e the}$ $\text{variables and numbers together , we can find the}$ $\text{value of x}$

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$\color{navy}\large\underline{\underline{Solution:}}$

$\dfrac{3(5x - 6)}{4} + 2 = 4x$

$\Rightarrow \dfrac{(15x - 18)}{4} + 2 = 4x$

$\mathtt{LCM\:fo\:denominators = 4}$

$\Rightarrow \dfrac{(15x - 18) + 8}{4} = 4x$

$\Rightarrow \dfrac{15x - 10}{4} = 4x$

$\Rightarrow 15x - 10 = 4x \times 4$

$\Rightarrow 15x - 10 = 16x$

$\Rightarrow 15x - 10 = 16x$

$\Rightarrow 15x - 16x = 10$

$\Rightarrow -x = 10$

$\Rightarrow x = - 10$

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$\color{blue}{\boxed{\dfrac{3(5x - 6)}{4} + 2 = 4x}}$