4-6(x-2)=-2(2x-14)

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Solution for 4-6(x-2)=-2(2x-14) equation: 


Simplifying
4 + -6(x + -2) = -2(2x + -14)

Reorder the terms:
4 + -6(-2 + x) = -2(2x + -14)
4 + (-2 * -6 + x * -6) = -2(2x + -14)
4 + (12 + -6x) = -2(2x + -14)

Combine like terms: 4 + 12 = 16
16 + -6x = -2(2x + -14)

Reorder the terms:
16 + -6x = -2(-14 + 2x)
16 + -6x = (-14 * -2 + 2x * -2)
16 + -6x = (28 + -4x)

Solving
16 + -6x = 28 + -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.
16 + -6x + 4x = 28 + -4x + 4x

Combine like terms: -6x + 4x = -2x
16 + -2x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
16 + -2x = 28 + 0
16 + -2x = 28

Add '-16' to each side of the equation.
16 + -16 + -2x = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 28 + -16
-2x = 28 + -16

Combine like terms: 28 + -16 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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