2(6b+2)+3=5(4b+3)

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Solution for 2(6b+2)+3=5(4b+3) equation:


Simplifying
2(6b + 2) + 3 = 5(4b + 3)

Reorder the terms:
2(2 + 6b) + 3 = 5(4b + 3)
(2 * 2 + 6b * 2) + 3 = 5(4b + 3)
(4 + 12b) + 3 = 5(4b + 3)

Reorder the terms:
4 + 3 + 12b = 5(4b + 3)

Combine like terms: 4 + 3 = 7
7 + 12b = 5(4b + 3)

Reorder the terms:
7 + 12b = 5(3 + 4b)
7 + 12b = (3 * 5 + 4b * 5)
7 + 12b = (15 + 20b)

Solving
7 + 12b = 15 + 20b

Solving for variable 'b'.

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

Add '-20b' to each side of the equation.
7 + 12b + -20b = 15 + 20b + -20b

Combine like terms: 12b + -20b = -8b
7 + -8b = 15 + 20b + -20b

Combine like terms: 20b + -20b = 0
7 + -8b = 15 + 0
7 + -8b = 15

Add '-7' to each side of the equation.
7 + -7 + -8b = 15 + -7

Combine like terms: 7 + -7 = 0
0 + -8b = 15 + -7
-8b = 15 + -7

Combine like terms: 15 + -7 = 8
-8b = 8

Divide each side by '-8'.
b = -1

Simplifying
b = -1

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