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

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


Simplifying
2(x + -2) + -6 = 6x + -4(3 + -1x)

Reorder the terms:
2(-2 + x) + -6 = 6x + -4(3 + -1x)
(-2 * 2 + x * 2) + -6 = 6x + -4(3 + -1x)
(-4 + 2x) + -6 = 6x + -4(3 + -1x)

Reorder the terms:
-4 + -6 + 2x = 6x + -4(3 + -1x)

Combine like terms: -4 + -6 = -10
-10 + 2x = 6x + -4(3 + -1x)
-10 + 2x = 6x + (3 * -4 + -1x * -4)
-10 + 2x = 6x + (-12 + 4x)

Reorder the terms:
-10 + 2x = -12 + 6x + 4x

Combine like terms: 6x + 4x = 10x
-10 + 2x = -12 + 10x

Solving
-10 + 2x = -12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-10 + 2x + -10x = -12 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-10 + -8x = -12 + 10x + -10x

Combine like terms: 10x + -10x = 0
-10 + -8x = -12 + 0
-10 + -8x = -12

Add '10' to each side of the equation.
-10 + 10 + -8x = -12 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = -12 + 10
-8x = -12 + 10

Combine like terms: -12 + 10 = -2
-8x = -2

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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