a) The solution is x = -9.
b) The solution is x = 15.
<u>Step-by-step explanation:</u>
a) The given equation is 3(x+1)=2(x-3).
To solve this equation, distributive property is used.
<u>The Distributive property :</u>
It is done by multiplying the number outside the bracket with each terms present inside the bracket.
Now, the first step is to multiply 3 with each terms in (x+1) and multiply 2 with each terms in (x-3).
⇒ 3x+3 = 2x-6
Bring x terms on one side and constants on other side,
⇒ 3x-2x = -6-3
⇒ x = -9
b) The given equation is 2(5x-6)=3(3x+1).
To solve this equation,distributive property is used.
Now the first step is to multiply 2 with each terms of (5x-6) and 3 with each terms of (3x+1).
⇒ 10x-12 = 9x+3
Bring x terms on one side and constants on other side,
⇒ 10x-9x = 3+12
⇒ x = 15
