2(x+8)-6x=-2(x-3)

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Solution for 2(x+8)-6x=-2(x-3) equation: 


Simplifying
2(x + 8) + -6x = -2(x + -3)

Reorder the terms:
2(8 + x) + -6x = -2(x + -3)
(8 * 2 + x * 2) + -6x = -2(x + -3)
(16 + 2x) + -6x = -2(x + -3)

Combine like terms: 2x + -6x = -4x
16 + -4x = -2(x + -3)

Reorder the terms:
16 + -4x = -2(-3 + x)
16 + -4x = (-3 * -2 + x * -2)
16 + -4x = (6 + -2x)

Solving
16 + -4x = 6 + -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.
16 + -4x + 2x = 6 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
16 + -2x = 6 + 0
16 + -2x = 6

Add '-16' to each side of the equation.
16 + -16 + -2x = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 6 + -16
-2x = 6 + -16

Combine like terms: 6 + -16 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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