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

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


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

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

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

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

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

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

Combine like terms: x + -6x = -5x
3x = 2 + -5x

Solving
3x = 2 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
3x + 5x = 2 + -5x + 5x

Combine like terms: 3x + 5x = 8x
8x = 2 + -5x + 5x

Combine like terms: -5x + 5x = 0
8x = 2 + 0
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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