2-2x+6x=-2(-3x+7)

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Solution for 2-2x+6x=-2(-3x+7) equation:


Simplifying
2 + -2x + 6x = -2(-3x + 7)

Combine like terms: -2x + 6x = 4x
2 + 4x = -2(-3x + 7)

Reorder the terms:
2 + 4x = -2(7 + -3x)
2 + 4x = (7 * -2 + -3x * -2)
2 + 4x = (-14 + 6x)

Solving
2 + 4x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 4x + -6x = -14 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + -2x = -14 + 0
2 + -2x = -14

Add '-2' to each side of the equation.
2 + -2 + -2x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -14 + -2
-2x = -14 + -2

Combine like terms: -14 + -2 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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