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

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


Simplifying
6(2x + -10) = -4(4 + -1x)

Reorder the terms:
6(-10 + 2x) = -4(4 + -1x)
(-10 * 6 + 2x * 6) = -4(4 + -1x)
(-60 + 12x) = -4(4 + -1x)
-60 + 12x = (4 * -4 + -1x * -4)
-60 + 12x = (-16 + 4x)

Solving
-60 + 12x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-60 + 12x + -4x = -16 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-60 + 8x = -16 + 0
-60 + 8x = -16

Add '60' to each side of the equation.
-60 + 60 + 8x = -16 + 60

Combine like terms: -60 + 60 = 0
0 + 8x = -16 + 60
8x = -16 + 60

Combine like terms: -16 + 60 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5

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