(5b-4)-2(2b+3)=-7

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Solution for (5b-4)-2(2b+3)=-7 equation:


Simplifying
(5b + -4) + -2(2b + 3) = -7

Reorder the terms:
(-4 + 5b) + -2(2b + 3) = -7

Remove parenthesis around (-4 + 5b)
-4 + 5b + -2(2b + 3) = -7

Reorder the terms:
-4 + 5b + -2(3 + 2b) = -7
-4 + 5b + (3 * -2 + 2b * -2) = -7
-4 + 5b + (-6 + -4b) = -7

Reorder the terms:
-4 + -6 + 5b + -4b = -7

Combine like terms: -4 + -6 = -10
-10 + 5b + -4b = -7

Combine like terms: 5b + -4b = 1b
-10 + 1b = -7

Solving
-10 + 1b = -7

Solving for variable 'b'.

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

Add '10' to each side of the equation.
-10 + 10 + 1b = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 1b = -7 + 10
1b = -7 + 10

Combine like terms: -7 + 10 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3

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