4(2x+4)-8=2x-46

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Solution for 4(2x+4)-8=2x-46 equation:


Simplifying
4(2x + 4) + -8 = 2x + -46

Reorder the terms:
4(4 + 2x) + -8 = 2x + -46
(4 * 4 + 2x * 4) + -8 = 2x + -46
(16 + 8x) + -8 = 2x + -46

Reorder the terms:
16 + -8 + 8x = 2x + -46

Combine like terms: 16 + -8 = 8
8 + 8x = 2x + -46

Reorder the terms:
8 + 8x = -46 + 2x

Solving
8 + 8x = -46 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 8x + -2x = -46 + 2x + -2x

Combine like terms: 8x + -2x = 6x
8 + 6x = -46 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 6x = -46 + 0
8 + 6x = -46

Add '-8' to each side of the equation.
8 + -8 + 6x = -46 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = -46 + -8
6x = -46 + -8

Combine like terms: -46 + -8 = -54
6x = -54

Divide each side by '6'.
x = -9

Simplifying
x = -9

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