3b+11.5=4.5b+4

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Solution for 3b+11.5=4.5b+4 equation: 


Simplifying
3b + 11.5 = 4.5b + 4

Reorder the terms:
11.5 + 3b = 4.5b + 4

Reorder the terms:
11.5 + 3b = 4 + 4.5b

Solving
11.5 + 3b = 4 + 4.5b

Solving for variable 'b'.

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

Add '-4.5b' to each side of the equation.
11.5 + 3b + -4.5b = 4 + 4.5b + -4.5b

Combine like terms: 3b + -4.5b = -1.5b
11.5 + -1.5b = 4 + 4.5b + -4.5b

Combine like terms: 4.5b + -4.5b = 0.0
11.5 + -1.5b = 4 + 0.0
11.5 + -1.5b = 4

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -1.5b = 4 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -1.5b = 4 + -11.5
-1.5b = 4 + -11.5

Combine like terms: 4 + -11.5 = -7.5
-1.5b = -7.5

Divide each side by '-1.5'.
b = 5

Simplifying
b = 5

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