6(b-3)-3(2b-1)=2(b-9)-1

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Solution for 6(b-3)-3(2b-1)=2(b-9)-1 equation:


Simplifying
6(b + -3) + -3(2b + -1) = 2(b + -9) + -1

Reorder the terms:
6(-3 + b) + -3(2b + -1) = 2(b + -9) + -1
(-3 * 6 + b * 6) + -3(2b + -1) = 2(b + -9) + -1
(-18 + 6b) + -3(2b + -1) = 2(b + -9) + -1

Reorder the terms:
-18 + 6b + -3(-1 + 2b) = 2(b + -9) + -1
-18 + 6b + (-1 * -3 + 2b * -3) = 2(b + -9) + -1
-18 + 6b + (3 + -6b) = 2(b + -9) + -1

Reorder the terms:
-18 + 3 + 6b + -6b = 2(b + -9) + -1

Combine like terms: -18 + 3 = -15
-15 + 6b + -6b = 2(b + -9) + -1

Combine like terms: 6b + -6b = 0
-15 + 0 = 2(b + -9) + -1
-15 = 2(b + -9) + -1

Reorder the terms:
-15 = 2(-9 + b) + -1
-15 = (-9 * 2 + b * 2) + -1
-15 = (-18 + 2b) + -1

Reorder the terms:
-15 = -18 + -1 + 2b

Combine like terms: -18 + -1 = -19
-15 = -19 + 2b

Solving
-15 = -19 + 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.
-15 + -2b = -19 + 2b + -2b

Combine like terms: 2b + -2b = 0
-15 + -2b = -19 + 0
-15 + -2b = -19

Add '15' to each side of the equation.
-15 + 15 + -2b = -19 + 15

Combine like terms: -15 + 15 = 0
0 + -2b = -19 + 15
-2b = -19 + 15

Combine like terms: -19 + 15 = -4
-2b = -4

Divide each side by '-2'.
b = 2

Simplifying
b = 2

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