4[2x-(3x-5)+3(X+2)]-X=7X+2

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Solution for 4[2x-(3x-5)+3(X+2)]-X=7X+2 equation: 


Simplifying
4[2x + -1(3x + -5) + 3(X + 2)] + -1X = 7X + 2

Reorder the terms:
4[2x + -1(-5 + 3x) + 3(X + 2)] + -1X = 7X + 2
4[2x + (-5 * -1 + 3x * -1) + 3(X + 2)] + -1X = 7X + 2
4[2x + (5 + -3x) + 3(X + 2)] + -1X = 7X + 2

Reorder the terms:
4[2x + 5 + -3x + 3(2 + X)] + -1X = 7X + 2
4[2x + 5 + -3x + (2 * 3 + X * 3)] + -1X = 7X + 2
4[2x + 5 + -3x + (6 + 3X)] + -1X = 7X + 2

Reorder the terms:
4[5 + 6 + 3X + 2x + -3x] + -1X = 7X + 2

Combine like terms: 5 + 6 = 11
4[11 + 3X + 2x + -3x] + -1X = 7X + 2

Combine like terms: 2x + -3x = -1x
4[11 + 3X + -1x] + -1X = 7X + 2
[11 * 4 + 3X * 4 + -1x * 4] + -1X = 7X + 2
[44 + 12X + -4x] + -1X = 7X + 2

Reorder the terms:
44 + 12X + -1X + -4x = 7X + 2

Combine like terms: 12X + -1X = 11X
44 + 11X + -4x = 7X + 2

Reorder the terms:
44 + 11X + -4x = 2 + 7X

Solving
44 + 11X + -4x = 2 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
44 + 11X + -7X + -4x = 2 + 7X + -7X

Combine like terms: 11X + -7X = 4X
44 + 4X + -4x = 2 + 7X + -7X

Combine like terms: 7X + -7X = 0
44 + 4X + -4x = 2 + 0
44 + 4X + -4x = 2

Add '-44' to each side of the equation.
44 + 4X + -44 + -4x = 2 + -44

Reorder the terms:
44 + -44 + 4X + -4x = 2 + -44

Combine like terms: 44 + -44 = 0
0 + 4X + -4x = 2 + -44
4X + -4x = 2 + -44

Combine like terms: 2 + -44 = -42
4X + -4x = -42

Add '4x' to each side of the equation.
4X + -4x + 4x = -42 + 4x

Combine like terms: -4x + 4x = 0
4X + 0 = -42 + 4x
4X = -42 + 4x

Divide each side by '4'.
X = -10.5 + x

Simplifying
X = -10.5 + x

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