x+5y-5+x+3-4x+5x-10=

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Solution for x+5y-5+x+3-4x+5x-10= equation: 


Simplifying
x + 5y + -5 + x + 3 + -4x + 5x + -10 = 0

Reorder the terms:
-5 + 3 + -10 + x + x + -4x + 5x + 5y = 0

Combine like terms: -5 + 3 = -2
-2 + -10 + x + x + -4x + 5x + 5y = 0

Combine like terms: -2 + -10 = -12
-12 + x + x + -4x + 5x + 5y = 0

Combine like terms: x + x = 2x
-12 + 2x + -4x + 5x + 5y = 0

Combine like terms: 2x + -4x = -2x
-12 + -2x + 5x + 5y = 0

Combine like terms: -2x + 5x = 3x
-12 + 3x + 5y = 0

Solving
-12 + 3x + 5y = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 3x + 12 + 5y = 0 + 12

Reorder the terms:
-12 + 12 + 3x + 5y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 3x + 5y = 0 + 12
3x + 5y = 0 + 12

Combine like terms: 0 + 12 = 12
3x + 5y = 12

Add '-5y' to each side of the equation.
3x + 5y + -5y = 12 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 12 + -5y
3x = 12 + -5y

Divide each side by '3'.
x = 4 + -1.666666667y

Simplifying
x = 4 + -1.666666667y

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