-2b+8+4b-6=-3(3b+4)+7(2b+5)

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Solution for -2b+8+4b-6=-3(3b+4)+7(2b+5) equation:


Simplifying
-2b + 8 + 4b + -6 = -3(3b + 4) + 7(2b + 5)

Reorder the terms:
8 + -6 + -2b + 4b = -3(3b + 4) + 7(2b + 5)

Combine like terms: 8 + -6 = 2
2 + -2b + 4b = -3(3b + 4) + 7(2b + 5)

Combine like terms: -2b + 4b = 2b
2 + 2b = -3(3b + 4) + 7(2b + 5)

Reorder the terms:
2 + 2b = -3(4 + 3b) + 7(2b + 5)
2 + 2b = (4 * -3 + 3b * -3) + 7(2b + 5)
2 + 2b = (-12 + -9b) + 7(2b + 5)

Reorder the terms:
2 + 2b = -12 + -9b + 7(5 + 2b)
2 + 2b = -12 + -9b + (5 * 7 + 2b * 7)
2 + 2b = -12 + -9b + (35 + 14b)

Reorder the terms:
2 + 2b = -12 + 35 + -9b + 14b

Combine like terms: -12 + 35 = 23
2 + 2b = 23 + -9b + 14b

Combine like terms: -9b + 14b = 5b
2 + 2b = 23 + 5b

Solving
2 + 2b = 23 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
2 + 2b + -5b = 23 + 5b + -5b

Combine like terms: 2b + -5b = -3b
2 + -3b = 23 + 5b + -5b

Combine like terms: 5b + -5b = 0
2 + -3b = 23 + 0
2 + -3b = 23

Add '-2' to each side of the equation.
2 + -2 + -3b = 23 + -2

Combine like terms: 2 + -2 = 0
0 + -3b = 23 + -2
-3b = 23 + -2

Combine like terms: 23 + -2 = 21
-3b = 21

Divide each side by '-3'.
b = -7

Simplifying
b = -7

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