5(b+3)-6(b-2)=22

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Solution for 5(b+3)-6(b-2)=22 equation:


Simplifying
5(b + 3) + -6(b + -2) = 22

Reorder the terms:
5(3 + b) + -6(b + -2) = 22
(3 * 5 + b * 5) + -6(b + -2) = 22
(15 + 5b) + -6(b + -2) = 22

Reorder the terms:
15 + 5b + -6(-2 + b) = 22
15 + 5b + (-2 * -6 + b * -6) = 22
15 + 5b + (12 + -6b) = 22

Reorder the terms:
15 + 12 + 5b + -6b = 22

Combine like terms: 15 + 12 = 27
27 + 5b + -6b = 22

Combine like terms: 5b + -6b = -1b
27 + -1b = 22

Solving
27 + -1b = 22

Solving for variable 'b'.

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

Add '-27' to each side of the equation.
27 + -27 + -1b = 22 + -27

Combine like terms: 27 + -27 = 0
0 + -1b = 22 + -27
-1b = 22 + -27

Combine like terms: 22 + -27 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5

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