10b-45=3b-65

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Solution for 10b-45=3b-65 equation:


Simplifying
10b + -45 = 3b + -65

Reorder the terms:
-45 + 10b = 3b + -65

Reorder the terms:
-45 + 10b = -65 + 3b

Solving
-45 + 10b = -65 + 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 = -65 + 3b + -3b

Combine like terms: 10b + -3b = 7b
-45 + 7b = -65 + 3b + -3b

Combine like terms: 3b + -3b = 0
-45 + 7b = -65 + 0
-45 + 7b = -65

Add '45' to each side of the equation.
-45 + 45 + 7b = -65 + 45

Combine like terms: -45 + 45 = 0
0 + 7b = -65 + 45
7b = -65 + 45

Combine like terms: -65 + 45 = -20
7b = -20

Divide each side by '7'.
b = -2.857142857

Simplifying
b = -2.857142857

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