6(8-x)+2=-2(x-2)-4

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Solution for 6(8-x)+2=-2(x-2)-4 equation:


Simplifying
6(8 + -1x) + 2 = -2(x + -2) + -4
(8 * 6 + -1x * 6) + 2 = -2(x + -2) + -4
(48 + -6x) + 2 = -2(x + -2) + -4

Reorder the terms:
48 + 2 + -6x = -2(x + -2) + -4

Combine like terms: 48 + 2 = 50
50 + -6x = -2(x + -2) + -4

Reorder the terms:
50 + -6x = -2(-2 + x) + -4
50 + -6x = (-2 * -2 + x * -2) + -4
50 + -6x = (4 + -2x) + -4

Reorder the terms:
50 + -6x = 4 + -4 + -2x

Combine like terms: 4 + -4 = 0
50 + -6x = 0 + -2x
50 + -6x = -2x

Solving
50 + -6x = -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.
50 + -6x + 2x = -2x + 2x

Combine like terms: -6x + 2x = -4x
50 + -4x = -2x + 2x

Combine like terms: -2x + 2x = 0
50 + -4x = 0

Add '-50' to each side of the equation.
50 + -50 + -4x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -4x = 0 + -50
-4x = 0 + -50

Combine like terms: 0 + -50 = -50
-4x = -50

Divide each side by '-4'.
x = 12.5

Simplifying
x = 12.5

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