2x+(x+(2x-3))=5x-(3x+2)

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


Simplifying
2x + (x + (2x + -3)) = 5x + -1(3x + 2)

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

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

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

Combine like terms: x + 2x = 3x
2x + (-3 + 3x) = 5x + -1(3x + 2)

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

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

Combine like terms: 2x + 3x = 5x
-3 + 5x = 5x + -1(3x + 2)

Reorder the terms:
-3 + 5x = 5x + -1(2 + 3x)
-3 + 5x = 5x + (2 * -1 + 3x * -1)
-3 + 5x = 5x + (-2 + -3x)

Reorder the terms:
-3 + 5x = -2 + 5x + -3x

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

Solving
-3 + 5x = -2 + 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.
-3 + 5x + -2x = -2 + 2x + -2x

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

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

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

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

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

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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