3b=5(2-b)-4(1-3b)

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Solution for 3b=5(2-b)-4(1-3b) equation:


Simplifying
3b = 5(2 + -1b) + -4(1 + -3b)
3b = (2 * 5 + -1b * 5) + -4(1 + -3b)
3b = (10 + -5b) + -4(1 + -3b)
3b = 10 + -5b + (1 * -4 + -3b * -4)
3b = 10 + -5b + (-4 + 12b)

Reorder the terms:
3b = 10 + -4 + -5b + 12b

Combine like terms: 10 + -4 = 6
3b = 6 + -5b + 12b

Combine like terms: -5b + 12b = 7b
3b = 6 + 7b

Solving
3b = 6 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
3b + -7b = 6 + 7b + -7b

Combine like terms: 3b + -7b = -4b
-4b = 6 + 7b + -7b

Combine like terms: 7b + -7b = 0
-4b = 6 + 0
-4b = 6

Divide each side by '-4'.
b = -1.5

Simplifying
b = -1.5

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