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

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


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

Reorder the terms:
3(-6 + x) = x + -1(3x + -2)
(-6 * 3 + x * 3) = x + -1(3x + -2)
(-18 + 3x) = x + -1(3x + -2)

Reorder the terms:
-18 + 3x = x + -1(-2 + 3x)
-18 + 3x = x + (-2 * -1 + 3x * -1)
-18 + 3x = x + (2 + -3x)

Reorder the terms:
-18 + 3x = 2 + x + -3x

Combine like terms: x + -3x = -2x
-18 + 3x = 2 + -2x

Solving
-18 + 3x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-18 + 3x + 2x = 2 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-18 + 5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 5x = 2 + 0
-18 + 5x = 2

Add '18' to each side of the equation.
-18 + 18 + 5x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 2 + 18
5x = 2 + 18

Combine like terms: 2 + 18 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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