.33(b+6)=.25b+8

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Solution for .33(b+6)=.25b+8 equation: 


Simplifying
0.33(b + 6) = 0.25b + 8

Reorder the terms:
0.33(6 + b) = 0.25b + 8
(6 * 0.33 + b * 0.33) = 0.25b + 8
(1.98 + 0.33b) = 0.25b + 8

Reorder the terms:
1.98 + 0.33b = 8 + 0.25b

Solving
1.98 + 0.33b = 8 + 0.25b

Solving for variable 'b'.

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

Add '-0.25b' to each side of the equation.
1.98 + 0.33b + -0.25b = 8 + 0.25b + -0.25b

Combine like terms: 0.33b + -0.25b = 0.08b
1.98 + 0.08b = 8 + 0.25b + -0.25b

Combine like terms: 0.25b + -0.25b = 0.00
1.98 + 0.08b = 8 + 0.00
1.98 + 0.08b = 8

Add '-1.98' to each side of the equation.
1.98 + -1.98 + 0.08b = 8 + -1.98

Combine like terms: 1.98 + -1.98 = 0.00
0.00 + 0.08b = 8 + -1.98
0.08b = 8 + -1.98

Combine like terms: 8 + -1.98 = 6.02
0.08b = 6.02

Divide each side by '0.08'.
b = 75.25

Simplifying
b = 75.25

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