2(b-3)=5(b+8)-19

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Solution for 2(b-3)=5(b+8)-19 equation:


Simplifying
2(b + -3) = 5(b + 8) + -19

Reorder the terms:
2(-3 + b) = 5(b + 8) + -19
(-3 * 2 + b * 2) = 5(b + 8) + -19
(-6 + 2b) = 5(b + 8) + -19

Reorder the terms:
-6 + 2b = 5(8 + b) + -19
-6 + 2b = (8 * 5 + b * 5) + -19
-6 + 2b = (40 + 5b) + -19

Reorder the terms:
-6 + 2b = 40 + -19 + 5b

Combine like terms: 40 + -19 = 21
-6 + 2b = 21 + 5b

Solving
-6 + 2b = 21 + 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.
-6 + 2b + -5b = 21 + 5b + -5b

Combine like terms: 2b + -5b = -3b
-6 + -3b = 21 + 5b + -5b

Combine like terms: 5b + -5b = 0
-6 + -3b = 21 + 0
-6 + -3b = 21

Add '6' to each side of the equation.
-6 + 6 + -3b = 21 + 6

Combine like terms: -6 + 6 = 0
0 + -3b = 21 + 6
-3b = 21 + 6

Combine like terms: 21 + 6 = 27
-3b = 27

Divide each side by '-3'.
b = -9

Simplifying
b = -9

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