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

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


Simplifying
6 + 2(4 + -2x) = 6x + 2(4x + -2)
6 + (4 * 2 + -2x * 2) = 6x + 2(4x + -2)
6 + (8 + -4x) = 6x + 2(4x + -2)

Combine like terms: 6 + 8 = 14
14 + -4x = 6x + 2(4x + -2)

Reorder the terms:
14 + -4x = 6x + 2(-2 + 4x)
14 + -4x = 6x + (-2 * 2 + 4x * 2)
14 + -4x = 6x + (-4 + 8x)

Reorder the terms:
14 + -4x = -4 + 6x + 8x

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

Solving
14 + -4x = -4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
14 + -4x + -14x = -4 + 14x + -14x

Combine like terms: -4x + -14x = -18x
14 + -18x = -4 + 14x + -14x

Combine like terms: 14x + -14x = 0
14 + -18x = -4 + 0
14 + -18x = -4

Add '-14' to each side of the equation.
14 + -14 + -18x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -18x = -4 + -14
-18x = -4 + -14

Combine like terms: -4 + -14 = -18
-18x = -18

Divide each side by '-18'.
x = 1

Simplifying
x = 1

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