10b-45=3(b-45)

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Solution for 10b-45=3(b-45) equation:


Simplifying
10b + -45 = 3(b + -45)

Reorder the terms:
-45 + 10b = 3(b + -45)

Reorder the terms:
-45 + 10b = 3(-45 + b)
-45 + 10b = (-45 * 3 + b * 3)
-45 + 10b = (-135 + 3b)

Solving
-45 + 10b = -135 + 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.
-45 + 10b + -3b = -135 + 3b + -3b

Combine like terms: 10b + -3b = 7b
-45 + 7b = -135 + 3b + -3b

Combine like terms: 3b + -3b = 0
-45 + 7b = -135 + 0
-45 + 7b = -135

Add '45' to each side of the equation.
-45 + 45 + 7b = -135 + 45

Combine like terms: -45 + 45 = 0
0 + 7b = -135 + 45
7b = -135 + 45

Combine like terms: -135 + 45 = -90
7b = -90

Divide each side by '7'.
b = -12.85714286

Simplifying
b = -12.85714286

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