3x+2-6x=-x-15+8-5y

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Solution for 3x+2-6x=-x-15+8-5y equation: 


Simplifying
3x + 2 + -6x = -1x + -15 + 8 + -5y

Reorder the terms:
2 + 3x + -6x = -1x + -15 + 8 + -5y

Combine like terms: 3x + -6x = -3x
2 + -3x = -1x + -15 + 8 + -5y

Reorder the terms:
2 + -3x = -15 + 8 + -1x + -5y

Combine like terms: -15 + 8 = -7
2 + -3x = -7 + -1x + -5y

Solving
2 + -3x = -7 + -1x + -5y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + -3x + x = -7 + -1x + x + -5y

Combine like terms: -3x + x = -2x
2 + -2x = -7 + -1x + x + -5y

Combine like terms: -1x + x = 0
2 + -2x = -7 + 0 + -5y
2 + -2x = -7 + -5y

Add '-2' to each side of the equation.
2 + -2 + -2x = -7 + -2 + -5y

Combine like terms: 2 + -2 = 0
0 + -2x = -7 + -2 + -5y
-2x = -7 + -2 + -5y

Combine like terms: -7 + -2 = -9
-2x = -9 + -5y

Divide each side by '-2'.
x = 4.5 + 2.5y

Simplifying
x = 4.5 + 2.5y

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