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

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


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

Reorder the terms:
4(-6 + x) = 2x + 6(x + -2)
(-6 * 4 + x * 4) = 2x + 6(x + -2)
(-24 + 4x) = 2x + 6(x + -2)

Reorder the terms:
-24 + 4x = 2x + 6(-2 + x)
-24 + 4x = 2x + (-2 * 6 + x * 6)
-24 + 4x = 2x + (-12 + 6x)

Reorder the terms:
-24 + 4x = -12 + 2x + 6x

Combine like terms: 2x + 6x = 8x
-24 + 4x = -12 + 8x

Solving
-24 + 4x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-24 + 4x + -8x = -12 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-24 + -4x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + -4x = -12 + 0
-24 + -4x = -12

Add '24' to each side of the equation.
-24 + 24 + -4x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + -4x = -12 + 24
-4x = -12 + 24

Combine like terms: -12 + 24 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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