Question

Solve the following equation x+5/3 + x-10/6 = 5x-2

Plz solve the above equation...
Step by step....
Will mark as brainliest​

Answer 1

$\sf\huge\underline{Answer :-}$

$\sf \dfrac{x + 5}{3} + \dfrac{x - 10}{6} = 5x - 2$

$\sf\longrightarrow \dfrac{2(x + 5) + (x - 10)}{6} = 5x - 2$

$\sf\longrightarrow \dfrac{2(x + 5) + x - 10}{6} = 5x - 2$

$\sf\longrightarrow \dfrac{2x + 10 + x - 10}{6} = 5x - 2$

$\sf\longrightarrow \dfrac{2x + x}{6} = 5x - 2$

$\sf\longrightarrow \dfrac{3x}{6} = 5x - 2$

$\sf\longrightarrow 3x = 6(5x - 2)$

$\sf\longrightarrow 3x = 30x - 12$

$\sf\longrightarrow 3x - 30x = -12$

$\sf\longrightarrow -27x = -12$

$\sf\longrightarrow x = \dfrac{\cancel - 12}{\cancel - 27}$

$\sf\therefore x = \dfrac{12}{27}$

Answer 2

Solution:-

To Find:-

Value of x.

By the Problem:-

$\frac{x + 5}{3} + \frac{x - 10}{6} = 5x - 2 \\ = > \frac{2(x + 5) + x - 10}{6} = 5x - 2 \\ = > \frac{2x + 10 + x - 10}{6} = 5x - 2 \\ = > 3x = 30x - 12 \\ = > 12= 30x - 3x \\ = > 12 = 27x \\ = > x = \frac{12}{27} \\ = > x = \frac{4}{9}$

Answer:-

$\frac{4}{9}$

This can help you mate.