2-[2x-5]=x+[3x+3]

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


Simplifying
2 + -1[2x + -5] = x + [3x + 3]

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

Combine like terms: 2 + 5 = 7
7 + -2x = x + [3x + 3]

Reorder the terms:
7 + -2x = x + [3 + 3x]

Remove brackets around [3 + 3x]
7 + -2x = x + 3 + 3x

Reorder the terms:
7 + -2x = 3 + x + 3x

Combine like terms: x + 3x = 4x
7 + -2x = 3 + 4x

Solving
7 + -2x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + -2x + -4x = 3 + 4x + -4x

Combine like terms: -2x + -4x = -6x
7 + -6x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -6x = 3 + 0
7 + -6x = 3

Add '-7' to each side of the equation.
7 + -7 + -6x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 3 + -7
-6x = 3 + -7

Combine like terms: 3 + -7 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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