3(b-4)-2=4(b-6)

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


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

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

Reorder the terms:
-12 + -2 + 3b = 4(b + -6)

Combine like terms: -12 + -2 = -14
-14 + 3b = 4(b + -6)

Reorder the terms:
-14 + 3b = 4(-6 + b)
-14 + 3b = (-6 * 4 + b * 4)
-14 + 3b = (-24 + 4b)

Solving
-14 + 3b = -24 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
-14 + 3b + -4b = -24 + 4b + -4b

Combine like terms: 3b + -4b = -1b
-14 + -1b = -24 + 4b + -4b

Combine like terms: 4b + -4b = 0
-14 + -1b = -24 + 0
-14 + -1b = -24

Add '14' to each side of the equation.
-14 + 14 + -1b = -24 + 14

Combine like terms: -14 + 14 = 0
0 + -1b = -24 + 14
-1b = -24 + 14

Combine like terms: -24 + 14 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10

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