2(b-2)-4=3(b-6)

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Solution for 2(b-2)-4=3(b-6) equation:


Simplifying
2(b + -2) + -4 = 3(b + -6)

Reorder the terms:
2(-2 + b) + -4 = 3(b + -6)
(-2 * 2 + b * 2) + -4 = 3(b + -6)
(-4 + 2b) + -4 = 3(b + -6)

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

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

Reorder the terms:
-8 + 2b = 3(-6 + b)
-8 + 2b = (-6 * 3 + b * 3)
-8 + 2b = (-18 + 3b)

Solving
-8 + 2b = -18 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-8 + 2b + -3b = -18 + 3b + -3b

Combine like terms: 2b + -3b = -1b
-8 + -1b = -18 + 3b + -3b

Combine like terms: 3b + -3b = 0
-8 + -1b = -18 + 0
-8 + -1b = -18

Add '8' to each side of the equation.
-8 + 8 + -1b = -18 + 8

Combine like terms: -8 + 8 = 0
0 + -1b = -18 + 8
-1b = -18 + 8

Combine like terms: -18 + 8 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10

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