100=(12x+8)-(4x+4)

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Solution for 100=(12x+8)-(4x+4) equation:


Simplifying
100 = (12x + 8) + -1(4x + 4)

Reorder the terms:
100 = (8 + 12x) + -1(4x + 4)

Remove parenthesis around (8 + 12x)
100 = 8 + 12x + -1(4x + 4)

Reorder the terms:
100 = 8 + 12x + -1(4 + 4x)
100 = 8 + 12x + (4 * -1 + 4x * -1)
100 = 8 + 12x + (-4 + -4x)

Reorder the terms:
100 = 8 + -4 + 12x + -4x

Combine like terms: 8 + -4 = 4
100 = 4 + 12x + -4x

Combine like terms: 12x + -4x = 8x
100 = 4 + 8x

Solving
100 = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
100 + -8x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
100 + -8x = 4 + 0
100 + -8x = 4

Add '-100' to each side of the equation.
100 + -100 + -8x = 4 + -100

Combine like terms: 100 + -100 = 0
0 + -8x = 4 + -100
-8x = 4 + -100

Combine like terms: 4 + -100 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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