2(3-4x)=6-7(2x+4)

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Solution for 2(3-4x)=6-7(2x+4) equation:


Simplifying
2(3 + -4x) = 6 + -7(2x + 4)
(3 * 2 + -4x * 2) = 6 + -7(2x + 4)
(6 + -8x) = 6 + -7(2x + 4)

Reorder the terms:
6 + -8x = 6 + -7(4 + 2x)
6 + -8x = 6 + (4 * -7 + 2x * -7)
6 + -8x = 6 + (-28 + -14x)

Combine like terms: 6 + -28 = -22
6 + -8x = -22 + -14x

Solving
6 + -8x = -22 + -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.
6 + -8x + 14x = -22 + -14x + 14x

Combine like terms: -8x + 14x = 6x
6 + 6x = -22 + -14x + 14x

Combine like terms: -14x + 14x = 0
6 + 6x = -22 + 0
6 + 6x = -22

Add '-6' to each side of the equation.
6 + -6 + 6x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -22 + -6
6x = -22 + -6

Combine like terms: -22 + -6 = -28
6x = -28

Divide each side by '6'.
x = -4.666666667

Simplifying
x = -4.666666667

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