6(x-3)=3x-(6-x)

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


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

Reorder the terms:
6(-3 + x) = 3x + -1(6 + -1x)
(-3 * 6 + x * 6) = 3x + -1(6 + -1x)
(-18 + 6x) = 3x + -1(6 + -1x)
-18 + 6x = 3x + (6 * -1 + -1x * -1)
-18 + 6x = 3x + (-6 + 1x)

Reorder the terms:
-18 + 6x = -6 + 3x + 1x

Combine like terms: 3x + 1x = 4x
-18 + 6x = -6 + 4x

Solving
-18 + 6x = -6 + 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.
-18 + 6x + -4x = -6 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-18 + 2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 2x = -6 + 0
-18 + 2x = -6

Add '18' to each side of the equation.
-18 + 18 + 2x = -6 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -6 + 18
2x = -6 + 18

Combine like terms: -6 + 18 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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