8+(-4x+8)=7(-2x-4)+2

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Solution for 8+(-4x+8)=7(-2x-4)+2 equation:


Simplifying
8 + (-4x + 8) = 7(-2x + -4) + 2

Reorder the terms:
8 + (8 + -4x) = 7(-2x + -4) + 2

Remove parenthesis around (8 + -4x)
8 + 8 + -4x = 7(-2x + -4) + 2

Combine like terms: 8 + 8 = 16
16 + -4x = 7(-2x + -4) + 2

Reorder the terms:
16 + -4x = 7(-4 + -2x) + 2
16 + -4x = (-4 * 7 + -2x * 7) + 2
16 + -4x = (-28 + -14x) + 2

Reorder the terms:
16 + -4x = -28 + 2 + -14x

Combine like terms: -28 + 2 = -26
16 + -4x = -26 + -14x

Solving
16 + -4x = -26 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
16 + -4x + 14x = -26 + -14x + 14x

Combine like terms: -4x + 14x = 10x
16 + 10x = -26 + -14x + 14x

Combine like terms: -14x + 14x = 0
16 + 10x = -26 + 0
16 + 10x = -26

Add '-16' to each side of the equation.
16 + -16 + 10x = -26 + -16

Combine like terms: 16 + -16 = 0
0 + 10x = -26 + -16
10x = -26 + -16

Combine like terms: -26 + -16 = -42
10x = -42

Divide each side by '10'.
x = -4.2

Simplifying
x = -4.2

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