6(b+4.2)=14b-12.4

Solution for 6(b+4.2)=14b-12.4 equation:

Simplifying
6(b + 4.2) = 14b + -12.4

Reorder the terms:
6(4.2 + b) = 14b + -12.4
(4.2 * 6 + b * 6) = 14b + -12.4
(25.2 + 6b) = 14b + -12.4

Reorder the terms:
25.2 + 6b = -12.4 + 14b

Solving
25.2 + 6b = -12.4 + 14b

Solving for variable 'b'.

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

Add '-14b' to each side of the equation.
25.2 + 6b + -14b = -12.4 + 14b + -14b

Combine like terms: 6b + -14b = -8b
25.2 + -8b = -12.4 + 14b + -14b

Combine like terms: 14b + -14b = 0
25.2 + -8b = -12.4 + 0
25.2 + -8b = -12.4

Add '-25.2' to each side of the equation.
25.2 + -25.2 + -8b = -12.4 + -25.2

Combine like terms: 25.2 + -25.2 = 0.0
0.0 + -8b = -12.4 + -25.2
-8b = -12.4 + -25.2

Combine like terms: -12.4 + -25.2 = -37.6
-8b = -37.6

Divide each side by '-8'.
b = 4.7

Simplifying
b = 4.7