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

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


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

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

Reorder the terms:
-6 + 3x + -2(4 + 2x) + 6 = 4
-6 + 3x + (4 * -2 + 2x * -2) + 6 = 4
-6 + 3x + (-8 + -4x) + 6 = 4

Reorder the terms:
-6 + -8 + 6 + 3x + -4x = 4

Combine like terms: -6 + -8 = -14
-14 + 6 + 3x + -4x = 4

Combine like terms: -14 + 6 = -8
-8 + 3x + -4x = 4

Combine like terms: 3x + -4x = -1x
-8 + -1x = 4

Solving
-8 + -1x = 4

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 4 + 8
-1x = 4 + 8

Combine like terms: 4 + 8 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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