4(b-2)-10=2(b+3)

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Solution for 4(b-2)-10=2(b+3) equation:


Simplifying
4(b + -2) + -10 = 2(b + 3)

Reorder the terms:
4(-2 + b) + -10 = 2(b + 3)
(-2 * 4 + b * 4) + -10 = 2(b + 3)
(-8 + 4b) + -10 = 2(b + 3)

Reorder the terms:
-8 + -10 + 4b = 2(b + 3)

Combine like terms: -8 + -10 = -18
-18 + 4b = 2(b + 3)

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

Solving
-18 + 4b = 6 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-18 + 4b + -2b = 6 + 2b + -2b

Combine like terms: 4b + -2b = 2b
-18 + 2b = 6 + 2b + -2b

Combine like terms: 2b + -2b = 0
-18 + 2b = 6 + 0
-18 + 2b = 6

Add '18' to each side of the equation.
-18 + 18 + 2b = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 2b = 6 + 18
2b = 6 + 18

Combine like terms: 6 + 18 = 24
2b = 24

Divide each side by '2'.
b = 12

Simplifying
b = 12

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