7(2x+8)=3(4x-4)

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Solution for 7(2x+8)=3(4x-4) equation:


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

Reorder the terms:
7(8 + 2x) = 3(4x + -4)
(8 * 7 + 2x * 7) = 3(4x + -4)
(56 + 14x) = 3(4x + -4)

Reorder the terms:
56 + 14x = 3(-4 + 4x)
56 + 14x = (-4 * 3 + 4x * 3)
56 + 14x = (-12 + 12x)

Solving
56 + 14x = -12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
56 + 14x + -12x = -12 + 12x + -12x

Combine like terms: 14x + -12x = 2x
56 + 2x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
56 + 2x = -12 + 0
56 + 2x = -12

Add '-56' to each side of the equation.
56 + -56 + 2x = -12 + -56

Combine like terms: 56 + -56 = 0
0 + 2x = -12 + -56
2x = -12 + -56

Combine like terms: -12 + -56 = -68
2x = -68

Divide each side by '2'.
x = -34

Simplifying
x = -34

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