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

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


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

Combine like terms: 6 + 6 = 12
12 + -4x = 6x + 2(3x + -2)

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

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

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

Solving
12 + -4x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
12 + -4x + -12x = -4 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
12 + -16x = -4 + 0
12 + -16x = -4

Add '-12' to each side of the equation.
12 + -12 + -16x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -16x = -4 + -12
-16x = -4 + -12

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

Divide each side by '-16'.
x = 1

Simplifying
x = 1

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