Question

Solve 2x-3= 3/10 (5x-12)​

Answer 1

Answer:

If $2x-3= \frac{3}{10} (5x-12)$​ then $x = -\frac{5}{6}$.

Step-by-step explanation:

$2x-3= \frac{3}{10} (5x-12)​\\10 (2x - 3) = 3 (5x - 12)\\10(2x) - 10(3) = 3 (5x) - 3(12)\\20x - 30 = 15x - 36$

$20x - 15x = -36 + 30\\5x = - 6\\x = -\frac{5}{6}$

Answer 2

In context to question asked,

We have to determine the value of "x" in the given expression.

So, for solving the given equation,

We will first solve the given expression by shifting 10 from RHS to LHS and then by separating the like terms on one side, we will determine the value of x.

Thus we will get it as,

$2x-3= \frac{3}{10} (5x-12)\\10 (2x - 3) = 3 (5x - 12)\\10(2x) - 10(3) = 3 (5x) - 3(12)\\20x - 30 = 15x - 36\\20x - 15x = -36 + 30\\5x = - 6\\x = -\frac{5}{6}$

Hence, value of x in the given expression will be $-\frac{5}{6}$