4(x+2)-(2x-8)=b

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Solution for 4(x+2)-(2x-8)=b equation:


Simplifying
4(x + 2) + -1(2x + -8) = b

Reorder the terms:
4(2 + x) + -1(2x + -8) = b
(2 * 4 + x * 4) + -1(2x + -8) = b
(8 + 4x) + -1(2x + -8) = b

Reorder the terms:
8 + 4x + -1(-8 + 2x) = b
8 + 4x + (-8 * -1 + 2x * -1) = b
8 + 4x + (8 + -2x) = b

Reorder the terms:
8 + 8 + 4x + -2x = b

Combine like terms: 8 + 8 = 16
16 + 4x + -2x = b

Combine like terms: 4x + -2x = 2x
16 + 2x = b

Solving
16 + 2x = b

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 2x = -16 + b

Combine like terms: 16 + -16 = 0
0 + 2x = -16 + b
2x = -16 + b

Divide each side by '2'.
x = -8 + 0.5b

Simplifying
x = -8 + 0.5b

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