-(2b-(5b+2))=2+(2b+7)

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Solution for -(2b-(5b+2))=2+(2b+7) equation:


Simplifying
-1(2b + -1(5b + 2)) = 2 + (2b + 7)

Reorder the terms:
-1(2b + -1(2 + 5b)) = 2 + (2b + 7)
-1(2b + (2 * -1 + 5b * -1)) = 2 + (2b + 7)
-1(2b + (-2 + -5b)) = 2 + (2b + 7)

Reorder the terms:
-1(-2 + 2b + -5b) = 2 + (2b + 7)

Combine like terms: 2b + -5b = -3b
-1(-2 + -3b) = 2 + (2b + 7)
(-2 * -1 + -3b * -1) = 2 + (2b + 7)
(2 + 3b) = 2 + (2b + 7)

Reorder the terms:
2 + 3b = 2 + (7 + 2b)

Remove parenthesis around (7 + 2b)
2 + 3b = 2 + 7 + 2b

Combine like terms: 2 + 7 = 9
2 + 3b = 9 + 2b

Solving
2 + 3b = 9 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
2 + 3b + -2b = 9 + 2b + -2b

Combine like terms: 3b + -2b = 1b
2 + 1b = 9 + 2b + -2b

Combine like terms: 2b + -2b = 0
2 + 1b = 9 + 0
2 + 1b = 9

Add '-2' to each side of the equation.
2 + -2 + 1b = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 1b = 9 + -2
1b = 9 + -2

Combine like terms: 9 + -2 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7

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