2(b+5)=3b+8

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Solution for 2(b+5)=3b+8 equation:


Simplifying
2(b + 5) = 3b + 8

Reorder the terms:
2(5 + b) = 3b + 8
(5 * 2 + b * 2) = 3b + 8
(10 + 2b) = 3b + 8

Reorder the terms:
10 + 2b = 8 + 3b

Solving
10 + 2b = 8 + 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.
10 + 2b + -3b = 8 + 3b + -3b

Combine like terms: 2b + -3b = -1b
10 + -1b = 8 + 3b + -3b

Combine like terms: 3b + -3b = 0
10 + -1b = 8 + 0
10 + -1b = 8

Add '-10' to each side of the equation.
10 + -10 + -1b = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -1b = 8 + -10
-1b = 8 + -10

Combine like terms: 8 + -10 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2

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