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

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


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

Reorder the terms:
3(5 + b) = 4(2b + -5)
(5 * 3 + b * 3) = 4(2b + -5)
(15 + 3b) = 4(2b + -5)

Reorder the terms:
15 + 3b = 4(-5 + 2b)
15 + 3b = (-5 * 4 + 2b * 4)
15 + 3b = (-20 + 8b)

Solving
15 + 3b = -20 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
15 + 3b + -8b = -20 + 8b + -8b

Combine like terms: 3b + -8b = -5b
15 + -5b = -20 + 8b + -8b

Combine like terms: 8b + -8b = 0
15 + -5b = -20 + 0
15 + -5b = -20

Add '-15' to each side of the equation.
15 + -15 + -5b = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -5b = -20 + -15
-5b = -20 + -15

Combine like terms: -20 + -15 = -35
-5b = -35

Divide each side by '-5'.
b = 7

Simplifying
b = 7

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