4(2b-3)-5b=6b+18

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Solution for 4(2b-3)-5b=6b+18 equation:


Simplifying
4(2b + -3) + -5b = 6b + 18

Reorder the terms:
4(-3 + 2b) + -5b = 6b + 18
(-3 * 4 + 2b * 4) + -5b = 6b + 18
(-12 + 8b) + -5b = 6b + 18

Combine like terms: 8b + -5b = 3b
-12 + 3b = 6b + 18

Reorder the terms:
-12 + 3b = 18 + 6b

Solving
-12 + 3b = 18 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-12 + 3b + -6b = 18 + 6b + -6b

Combine like terms: 3b + -6b = -3b
-12 + -3b = 18 + 6b + -6b

Combine like terms: 6b + -6b = 0
-12 + -3b = 18 + 0
-12 + -3b = 18

Add '12' to each side of the equation.
-12 + 12 + -3b = 18 + 12

Combine like terms: -12 + 12 = 0
0 + -3b = 18 + 12
-3b = 18 + 12

Combine like terms: 18 + 12 = 30
-3b = 30

Divide each side by '-3'.
b = -10

Simplifying
b = -10

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