-2(7x+1)=-2(3x-7)

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Solution for -2(7x+1)=-2(3x-7) equation:


Simplifying
-2(7x + 1) = -2(3x + -7)

Reorder the terms:
-2(1 + 7x) = -2(3x + -7)
(1 * -2 + 7x * -2) = -2(3x + -7)
(-2 + -14x) = -2(3x + -7)

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

Solving
-2 + -14x = 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 + -14x + 6x = 14 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-2 + -8x = 14 + 0
-2 + -8x = 14

Add '2' to each side of the equation.
-2 + 2 + -8x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 14 + 2
-8x = 14 + 2

Combine like terms: 14 + 2 = 16
-8x = 16

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

Simplifying
x = -2

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