-2(x+ 4.1) = x + 2x + 12.3

x = −4.1

Step 1: Simplify both sides of the equation.

− 2 ( x + 4.1 )
= x + 2 x + 12.3 ( − 2 ) ( x ) + ( − 2 ) ( 4.1 )
= x + 2 x + 12.3

(Distribute)

− 2 x + − 8.2 = x + 2 x + 12.3 − 2 x − 8.2

= ( x + 2 x ) + ( 12.3 )

(Combine Like Terms)

− 2 x − 8.2 = 3 x + 12.3 − 2 x − 8.2
= 3 x + 12.3

Step 2: Subtract 3x from both sides.

− 2 x − 8.2 − 3 x
= 3 x + 12.3 − 3 x − 5 x − 8.2
= 12.3

Step 3: Add 8.2 to both sides.

− 5 x − 8.2 + 8.2
= 12.3 + 8.2 − 5 x = 20.5

Step 4: Divide both sides by -5.

− 5 x − 5 = 20.5 − 5 x = − 4.1

Justification of step A: common denominator

Justification of step B: multliplication property of equality

Step-by-step explanation:

i got it right.