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

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


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

Reorder the terms:
2(-7 + b) = 3(b + 5)
(-7 * 2 + b * 2) = 3(b + 5)
(-14 + 2b) = 3(b + 5)

Reorder the terms:
-14 + 2b = 3(5 + b)
-14 + 2b = (5 * 3 + b * 3)
-14 + 2b = (15 + 3b)

Solving
-14 + 2b = 15 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-14 + 2b + -3b = 15 + 3b + -3b

Combine like terms: 2b + -3b = -1b
-14 + -1b = 15 + 3b + -3b

Combine like terms: 3b + -3b = 0
-14 + -1b = 15 + 0
-14 + -1b = 15

Add '14' to each side of the equation.
-14 + 14 + -1b = 15 + 14

Combine like terms: -14 + 14 = 0
0 + -1b = 15 + 14
-1b = 15 + 14

Combine like terms: 15 + 14 = 29
-1b = 29

Divide each side by '-1'.
b = -29

Simplifying
b = -29

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