3(b-4)=5b+2

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


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

Reorder the terms:
3(-4 + b) = 5b + 2
(-4 * 3 + b * 3) = 5b + 2
(-12 + 3b) = 5b + 2

Reorder the terms:
-12 + 3b = 2 + 5b

Solving
-12 + 3b = 2 + 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.
-12 + 3b + -5b = 2 + 5b + -5b

Combine like terms: 3b + -5b = -2b
-12 + -2b = 2 + 5b + -5b

Combine like terms: 5b + -5b = 0
-12 + -2b = 2 + 0
-12 + -2b = 2

Add '12' to each side of the equation.
-12 + 12 + -2b = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -2b = 2 + 12
-2b = 2 + 12

Combine like terms: 2 + 12 = 14
-2b = 14

Divide each side by '-2'.
b = -7

Simplifying
b = -7

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