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

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


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

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

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

Combine like terms: -2 + 3 = 1
1 + 2x = x + -3(x + -1)

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

Reorder the terms:
1 + 2x = 3 + x + -3x

Combine like terms: x + -3x = -2x
1 + 2x = 3 + -2x

Solving
1 + 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.
1 + 2x + 2x = 3 + -2x + 2x

Combine like terms: 2x + 2x = 4x
1 + 4x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 4x = 3 + 0
1 + 4x = 3

Add '-1' to each side of the equation.
1 + -1 + 4x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 3 + -1
4x = 3 + -1

Combine like terms: 3 + -1 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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