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

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


Simplifying
2 + 3x(x + -1) = 3x2 + -2(x + -1)

Reorder the terms:
2 + 3x(-1 + x) = 3x2 + -2(x + -1)
2 + (-1 * 3x + x * 3x) = 3x2 + -2(x + -1)
2 + (-3x + 3x2) = 3x2 + -2(x + -1)

Reorder the terms:
2 + -3x + 3x2 = 3x2 + -2(-1 + x)
2 + -3x + 3x2 = 3x2 + (-1 * -2 + x * -2)
2 + -3x + 3x2 = 3x2 + (2 + -2x)

Reorder the terms:
2 + -3x + 3x2 = 2 + -2x + 3x2

Add '-2' to each side of the equation.
2 + -3x + -2 + 3x2 = 2 + -2x + -2 + 3x2

Reorder the terms:
2 + -2 + -3x + 3x2 = 2 + -2x + -2 + 3x2

Combine like terms: 2 + -2 = 0
0 + -3x + 3x2 = 2 + -2x + -2 + 3x2
-3x + 3x2 = 2 + -2x + -2 + 3x2

Reorder the terms:
-3x + 3x2 = 2 + -2 + -2x + 3x2

Combine like terms: 2 + -2 = 0
-3x + 3x2 = 0 + -2x + 3x2
-3x + 3x2 = -2x + 3x2

Add '-3x2' to each side of the equation.
-3x + 3x2 + -3x2 = -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3x + 0 = -2x + 3x2 + -3x2
-3x = -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3x = -2x + 0
-3x = -2x

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

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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