4(2x+4)=-6(-2x+10)

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Solution for 4(2x+4)=-6(-2x+10) equation: 


Simplifying
4(2x + 4) = -6(-2x + 10)

Reorder the terms:
4(4 + 2x) = -6(-2x + 10)
(4 * 4 + 2x * 4) = -6(-2x + 10)
(16 + 8x) = -6(-2x + 10)

Reorder the terms:
16 + 8x = -6(10 + -2x)
16 + 8x = (10 * -6 + -2x * -6)
16 + 8x = (-60 + 12x)

Solving
16 + 8x = -60 + 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.
16 + 8x + -12x = -60 + 12x + -12x

Combine like terms: 8x + -12x = -4x
16 + -4x = -60 + 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -4x = -60 + 0
16 + -4x = -60

Add '-16' to each side of the equation.
16 + -16 + -4x = -60 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -60 + -16
-4x = -60 + -16

Combine like terms: -60 + -16 = -76
-4x = -76

Divide each side by '-4'.
x = 19

Simplifying
x = 19

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