2(x-3)=x-3(x-1)

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Solution for 2(x-3)=x-3(x-1) equation:


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

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

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

Reorder the terms:
-6 + 2x = 3 + x + -3x

Combine like terms: x + -3x = -2x
-6 + 2x = 3 + -2x

Solving
-6 + 2x = 3 + -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.
-6 + 2x + 2x = 3 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-6 + 4x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 4x = 3 + 0
-6 + 4x = 3

Add '6' to each side of the equation.
-6 + 6 + 4x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 3 + 6
4x = 3 + 6

Combine like terms: 3 + 6 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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