-2(x-3)=-4(4x+7)

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Solution for -2(x-3)=-4(4x+7) equation:


Simplifying
-2(x + -3) = -4(4x + 7)

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

Reorder the terms:
6 + -2x = -4(7 + 4x)
6 + -2x = (7 * -4 + 4x * -4)
6 + -2x = (-28 + -16x)

Solving
6 + -2x = -28 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
6 + -2x + 16x = -28 + -16x + 16x

Combine like terms: -2x + 16x = 14x
6 + 14x = -28 + -16x + 16x

Combine like terms: -16x + 16x = 0
6 + 14x = -28 + 0
6 + 14x = -28

Add '-6' to each side of the equation.
6 + -6 + 14x = -28 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = -28 + -6
14x = -28 + -6

Combine like terms: -28 + -6 = -34
14x = -34

Divide each side by '14'.
x = -2.428571429

Simplifying
x = -2.428571429

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