2(b-5)+-4(2b-3)=-5

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Solution for 2(b-5)+-4(2b-3)=-5 equation: 


Simplifying
2(b + -5) + -4(2b + -3) = -5

Reorder the terms:
2(-5 + b) + -4(2b + -3) = -5
(-5 * 2 + b * 2) + -4(2b + -3) = -5
(-10 + 2b) + -4(2b + -3) = -5

Reorder the terms:
-10 + 2b + -4(-3 + 2b) = -5
-10 + 2b + (-3 * -4 + 2b * -4) = -5
-10 + 2b + (12 + -8b) = -5

Reorder the terms:
-10 + 12 + 2b + -8b = -5

Combine like terms: -10 + 12 = 2
2 + 2b + -8b = -5

Combine like terms: 2b + -8b = -6b
2 + -6b = -5

Solving
2 + -6b = -5

Solving for variable 'b'.

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

Add '-2' to each side of the equation.
2 + -2 + -6b = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -6b = -5 + -2
-6b = -5 + -2

Combine like terms: -5 + -2 = -7
-6b = -7

Divide each side by '-6'.
b = 1.166666667

Simplifying
b = 1.166666667

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