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

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


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

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

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

Solving
-8 + 4b = 15 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
-8 + 4b + -5b = 15 + 5b + -5b

Combine like terms: 4b + -5b = -1b
-8 + -1b = 15 + 5b + -5b

Combine like terms: 5b + -5b = 0
-8 + -1b = 15 + 0
-8 + -1b = 15

Add '8' to each side of the equation.
-8 + 8 + -1b = 15 + 8

Combine like terms: -8 + 8 = 0
0 + -1b = 15 + 8
-1b = 15 + 8

Combine like terms: 15 + 8 = 23
-1b = 23

Divide each side by '-1'.
b = -23

Simplifying
b = -23

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