Question

Solve:
3(x-2)=2(x+1)-3​

Answer 1

Answer:

3x-6 = 2x+2-3

3x-2x = +2-3+6

1x = +2+3

x = 5

x= 5

= 5

Answer 2

$\sf{Answer}$

$\huge\bf\underline{Explanation:-}$

3 ( x - 2 ) = 2 (x +1 ) -3

3x - 6 = 2x + 2 -3

Simplify the RHS

3x - 6 = 2x-1

Transpose 2x to LHS and -6 to RHS

3x - 2x = +6 -1

x = 5

Verification:-

Substuite value of x to get LHS=RHS

3(x-2)=2(x+1)-3

3(5-2) = 2 (5+1) -3

3(3) = 2(6) -3

9 = 12 -3

9 = 9

LHS = RHS

________________________

Know more

Transposing the terms

If + is in LHS = after transpose + becomes - in RHS

If - is in LHS = After tranpose - becomes + in RHS

If × is in LHS = After Tranpose × becomea ÷ in RHS

If ÷ in LHS = After Transpose ÷ becomes × in RHS

Multiplication of signs

(+) × (-) = -

(-) × (+) = -

(+) × (+) = +

(-) × (-) = +

*/ If we multiply with same signs we get positive

*/ If we multiply with opposite signs we get negative