10-2(b+3)=8+3(2b+5)

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Solution for 10-2(b+3)=8+3(2b+5) equation:


Simplifying
10 + -2(b + 3) = 8 + 3(2b + 5)

Reorder the terms:
10 + -2(3 + b) = 8 + 3(2b + 5)
10 + (3 * -2 + b * -2) = 8 + 3(2b + 5)
10 + (-6 + -2b) = 8 + 3(2b + 5)

Combine like terms: 10 + -6 = 4
4 + -2b = 8 + 3(2b + 5)

Reorder the terms:
4 + -2b = 8 + 3(5 + 2b)
4 + -2b = 8 + (5 * 3 + 2b * 3)
4 + -2b = 8 + (15 + 6b)

Combine like terms: 8 + 15 = 23
4 + -2b = 23 + 6b

Solving
4 + -2b = 23 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
4 + -2b + -6b = 23 + 6b + -6b

Combine like terms: -2b + -6b = -8b
4 + -8b = 23 + 6b + -6b

Combine like terms: 6b + -6b = 0
4 + -8b = 23 + 0
4 + -8b = 23

Add '-4' to each side of the equation.
4 + -4 + -8b = 23 + -4

Combine like terms: 4 + -4 = 0
0 + -8b = 23 + -4
-8b = 23 + -4

Combine like terms: 23 + -4 = 19
-8b = 19

Divide each side by '-8'.
b = -2.375

Simplifying
b = -2.375

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