10b-15=7b+13

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Solution for 10b-15=7b+13 equation:


Simplifying
10b + -15 = 7b + 13

Reorder the terms:
-15 + 10b = 7b + 13

Reorder the terms:
-15 + 10b = 13 + 7b

Solving
-15 + 10b = 13 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
-15 + 10b + -7b = 13 + 7b + -7b

Combine like terms: 10b + -7b = 3b
-15 + 3b = 13 + 7b + -7b

Combine like terms: 7b + -7b = 0
-15 + 3b = 13 + 0
-15 + 3b = 13

Add '15' to each side of the equation.
-15 + 15 + 3b = 13 + 15

Combine like terms: -15 + 15 = 0
0 + 3b = 13 + 15
3b = 13 + 15

Combine like terms: 13 + 15 = 28
3b = 28

Divide each side by '3'.
b = 9.333333333

Simplifying
b = 9.333333333

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