6.2(2b-3)=4.2(2b+3)

Solution for 6.2(2b-3)=4.2(2b+3) equation:

Simplifying
6.2(2b + -3) = 4.2(2b + 3)

Reorder the terms:
6.2(-3 + 2b) = 4.2(2b + 3)
(-3 * 6.2 + 2b * 6.2) = 4.2(2b + 3)
(-18.6 + 12.4b) = 4.2(2b + 3)

Reorder the terms:
-18.6 + 12.4b = 4.2(3 + 2b)
-18.6 + 12.4b = (3 * 4.2 + 2b * 4.2)
-18.6 + 12.4b = (12.6 + 8.4b)

Solving
-18.6 + 12.4b = 12.6 + 8.4b

Solving for variable 'b'.

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

Add '-8.4b' to each side of the equation.
-18.6 + 12.4b + -8.4b = 12.6 + 8.4b + -8.4b

Combine like terms: 12.4b + -8.4b = 4b
-18.6 + 4b = 12.6 + 8.4b + -8.4b

Combine like terms: 8.4b + -8.4b = 0.0
-18.6 + 4b = 12.6 + 0.0
-18.6 + 4b = 12.6

Add '18.6' to each side of the equation.
-18.6 + 18.6 + 4b = 12.6 + 18.6

Combine like terms: -18.6 + 18.6 = 0.0
0.0 + 4b = 12.6 + 18.6
4b = 12.6 + 18.6

Combine like terms: 12.6 + 18.6 = 31.2
4b = 31.2

Divide each side by '4'.
b = 7.8

Simplifying
b = 7.8