Question

2 ( x - 3 ) = 3/5 ( x + 4 )​

Answer 1

Answer:

Multiplying all the terms by the LCM of 2,3, i.e., 6, we get

6×

2

(2x+3)

=6×5−

3

6×2(x−4)

⇒3(2x+3)=30−4(x−4)

⇒6x+9=30−4x+16

⇒6x+9=−4x+46

⇒6x+4x=46−9

⇒10x=37

⇒x=

10

37

Answer 2

Answer:

6

Step-by-step explanation:

$2(x - 3) = \frac{3}{5} (x + 4) \\ 2x - 6 = \frac{3x}{5} + \frac{12}{5} \\ 2x - 6 = \frac{3x + 12}{5} \\ 5(2x - 6) = 3x + 12 \\ 10x - 30 = 3x + 12 \\ 10x - 3x = 30 + 12 \\ 7x = 42 \\ x = \frac{42}{7} = 6$