7b-4.6=3b+6.2

Solution for 7b-4.6=3b+6.2 equation:

Simplifying
7b + -4.6 = 3b + 6.2

Reorder the terms:
-4.6 + 7b = 3b + 6.2

Reorder the terms:
-4.6 + 7b = 6.2 + 3b

Solving
-4.6 + 7b = 6.2 + 3b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-3b' to each side of the equation.
-4.6 + 7b + -3b = 6.2 + 3b + -3b

Combine like terms: 7b + -3b = 4b
-4.6 + 4b = 6.2 + 3b + -3b

Combine like terms: 3b + -3b = 0
-4.6 + 4b = 6.2 + 0
-4.6 + 4b = 6.2

Add '4.6' to each side of the equation.
-4.6 + 4.6 + 4b = 6.2 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + 4b = 6.2 + 4.6
4b = 6.2 + 4.6

Combine like terms: 6.2 + 4.6 = 10.8
4b = 10.8

Divide each side by '4'.
b = 2.7

Simplifying
b = 2.7