7b-14=5(b-3)

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Solution for 7b-14=5(b-3) equation:


Simplifying
7b + -14 = 5(b + -3)

Reorder the terms:
-14 + 7b = 5(b + -3)

Reorder the terms:
-14 + 7b = 5(-3 + b)
-14 + 7b = (-3 * 5 + b * 5)
-14 + 7b = (-15 + 5b)

Solving
-14 + 7b = -15 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
-14 + 7b + -5b = -15 + 5b + -5b

Combine like terms: 7b + -5b = 2b
-14 + 2b = -15 + 5b + -5b

Combine like terms: 5b + -5b = 0
-14 + 2b = -15 + 0
-14 + 2b = -15

Add '14' to each side of the equation.
-14 + 14 + 2b = -15 + 14

Combine like terms: -14 + 14 = 0
0 + 2b = -15 + 14
2b = -15 + 14

Combine like terms: -15 + 14 = -1
2b = -1

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5

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