3(2b-5)=7b-12

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Solution for 3(2b-5)=7b-12 equation:


Simplifying
3(2b + -5) = 7b + -12

Reorder the terms:
3(-5 + 2b) = 7b + -12
(-5 * 3 + 2b * 3) = 7b + -12
(-15 + 6b) = 7b + -12

Reorder the terms:
-15 + 6b = -12 + 7b

Solving
-15 + 6b = -12 + 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.
-15 + 6b + -7b = -12 + 7b + -7b

Combine like terms: 6b + -7b = -1b
-15 + -1b = -12 + 7b + -7b

Combine like terms: 7b + -7b = 0
-15 + -1b = -12 + 0
-15 + -1b = -12

Add '15' to each side of the equation.
-15 + 15 + -1b = -12 + 15

Combine like terms: -15 + 15 = 0
0 + -1b = -12 + 15
-1b = -12 + 15

Combine like terms: -12 + 15 = 3
-1b = 3

Divide each side by '-1'.
b = -3

Simplifying
b = -3

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