-7(2b-4)=5(-2b+6)

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Solution for -7(2b-4)=5(-2b+6) equation:


Simplifying
-7(2b + -4) = 5(-2b + 6)

Reorder the terms:
-7(-4 + 2b) = 5(-2b + 6)
(-4 * -7 + 2b * -7) = 5(-2b + 6)
(28 + -14b) = 5(-2b + 6)

Reorder the terms:
28 + -14b = 5(6 + -2b)
28 + -14b = (6 * 5 + -2b * 5)
28 + -14b = (30 + -10b)

Solving
28 + -14b = 30 + -10b

Solving for variable 'b'.

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

Add '10b' to each side of the equation.
28 + -14b + 10b = 30 + -10b + 10b

Combine like terms: -14b + 10b = -4b
28 + -4b = 30 + -10b + 10b

Combine like terms: -10b + 10b = 0
28 + -4b = 30 + 0
28 + -4b = 30

Add '-28' to each side of the equation.
28 + -28 + -4b = 30 + -28

Combine like terms: 28 + -28 = 0
0 + -4b = 30 + -28
-4b = 30 + -28

Combine like terms: 30 + -28 = 2
-4b = 2

Divide each side by '-4'.
b = -0.5

Simplifying
b = -0.5

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