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

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


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

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

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

Reorder the terms:
4 + 5b + -2(-5 + b) = 7
4 + 5b + (-5 * -2 + b * -2) = 7
4 + 5b + (10 + -2b) = 7

Reorder the terms:
4 + 10 + 5b + -2b = 7

Combine like terms: 4 + 10 = 14
14 + 5b + -2b = 7

Combine like terms: 5b + -2b = 3b
14 + 3b = 7

Solving
14 + 3b = 7

Solving for variable 'b'.

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

Add '-14' to each side of the equation.
14 + -14 + 3b = 7 + -14

Combine like terms: 14 + -14 = 0
0 + 3b = 7 + -14
3b = 7 + -14

Combine like terms: 7 + -14 = -7
3b = -7

Divide each side by '3'.
b = -2.333333333

Simplifying
b = -2.333333333

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