6-4(3+x)+2(x-3)=-16

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Solution for 6-4(3+x)+2(x-3)=-16 equation: 


Simplifying
6 + -4(3 + x) + 2(x + -3) = -16
6 + (3 * -4 + x * -4) + 2(x + -3) = -16
6 + (-12 + -4x) + 2(x + -3) = -16

Reorder the terms:
6 + -12 + -4x + 2(-3 + x) = -16
6 + -12 + -4x + (-3 * 2 + x * 2) = -16
6 + -12 + -4x + (-6 + 2x) = -16

Reorder the terms:
6 + -12 + -6 + -4x + 2x = -16

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

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

Combine like terms: -4x + 2x = -2x
-12 + -2x = -16

Solving
-12 + -2x = -16

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + -2x = -16 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -16 + 12
-2x = -16 + 12

Combine like terms: -16 + 12 = -4
-2x = -4

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

Simplifying
x = 2

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