6+2x=4(-x+4)-46

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Solution for 6+2x=4(-x+4)-46 equation: 


Simplifying
6 + 2x = 4(-1x + 4) + -46

Reorder the terms:
6 + 2x = 4(4 + -1x) + -46
6 + 2x = (4 * 4 + -1x * 4) + -46
6 + 2x = (16 + -4x) + -46

Reorder the terms:
6 + 2x = 16 + -46 + -4x

Combine like terms: 16 + -46 = -30
6 + 2x = -30 + -4x

Solving
6 + 2x = -30 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 2x + 4x = -30 + -4x + 4x

Combine like terms: 2x + 4x = 6x
6 + 6x = -30 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 6x = -30 + 0
6 + 6x = -30

Add '-6' to each side of the equation.
6 + -6 + 6x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -30 + -6
6x = -30 + -6

Combine like terms: -30 + -6 = -36
6x = -36

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

Simplifying
x = -6

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