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

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


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

Reorder the terms:
-5(-3 + b) + 7 = 2b + -6
(-3 * -5 + b * -5) + 7 = 2b + -6
(15 + -5b) + 7 = 2b + -6

Reorder the terms:
15 + 7 + -5b = 2b + -6

Combine like terms: 15 + 7 = 22
22 + -5b = 2b + -6

Reorder the terms:
22 + -5b = -6 + 2b

Solving
22 + -5b = -6 + 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.
22 + -5b + -2b = -6 + 2b + -2b

Combine like terms: -5b + -2b = -7b
22 + -7b = -6 + 2b + -2b

Combine like terms: 2b + -2b = 0
22 + -7b = -6 + 0
22 + -7b = -6

Add '-22' to each side of the equation.
22 + -22 + -7b = -6 + -22

Combine like terms: 22 + -22 = 0
0 + -7b = -6 + -22
-7b = -6 + -22

Combine like terms: -6 + -22 = -28
-7b = -28

Divide each side by '-7'.
b = 4

Simplifying
b = 4

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