5x-[2x+(-3x+2)]=0

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Solution for 5x-[2x+(-3x+2)]=0 equation:


Simplifying
5x + -1[2x + (-3x + 2)] = 0

Reorder the terms:
5x + -1[2x + (2 + -3x)] = 0

Remove parenthesis around (2 + -3x)
5x + -1[2x + 2 + -3x] = 0

Reorder the terms:
5x + -1[2 + 2x + -3x] = 0

Combine like terms: 2x + -3x = -1x
5x + -1[2 + -1x] = 0
5x + [2 * -1 + -1x * -1] = 0
5x + [-2 + 1x] = 0

Reorder the terms:
-2 + 5x + 1x = 0

Combine like terms: 5x + 1x = 6x
-2 + 6x = 0

Solving
-2 + 6x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 6x = 0 + 2

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

Combine like terms: 0 + 2 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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