(x-15)-(4x+12)=(6+2x)-(4-5x)

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Solution for (x-15)-(4x+12)=(6+2x)-(4-5x) equation: 


Simplifying
(x + -15) + -1(4x + 12) = (6 + 2x) + -1(4 + -5x)

Reorder the terms:
(-15 + x) + -1(4x + 12) = (6 + 2x) + -1(4 + -5x)

Remove parenthesis around (-15 + x)
-15 + x + -1(4x + 12) = (6 + 2x) + -1(4 + -5x)

Reorder the terms:
-15 + x + -1(12 + 4x) = (6 + 2x) + -1(4 + -5x)
-15 + x + (12 * -1 + 4x * -1) = (6 + 2x) + -1(4 + -5x)
-15 + x + (-12 + -4x) = (6 + 2x) + -1(4 + -5x)

Reorder the terms:
-15 + -12 + x + -4x = (6 + 2x) + -1(4 + -5x)

Combine like terms: -15 + -12 = -27
-27 + x + -4x = (6 + 2x) + -1(4 + -5x)

Combine like terms: x + -4x = -3x
-27 + -3x = (6 + 2x) + -1(4 + -5x)

Remove parenthesis around (6 + 2x)
-27 + -3x = 6 + 2x + -1(4 + -5x)
-27 + -3x = 6 + 2x + (4 * -1 + -5x * -1)
-27 + -3x = 6 + 2x + (-4 + 5x)

Reorder the terms:
-27 + -3x = 6 + -4 + 2x + 5x

Combine like terms: 6 + -4 = 2
-27 + -3x = 2 + 2x + 5x

Combine like terms: 2x + 5x = 7x
-27 + -3x = 2 + 7x

Solving
-27 + -3x = 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.
-27 + -3x + -7x = 2 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-27 + -10x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-27 + -10x = 2 + 0
-27 + -10x = 2

Add '27' to each side of the equation.
-27 + 27 + -10x = 2 + 27

Combine like terms: -27 + 27 = 0
0 + -10x = 2 + 27
-10x = 2 + 27

Combine like terms: 2 + 27 = 29
-10x = 29

Divide each side by '-10'.
x = -2.9

Simplifying
x = -2.9

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