6X-2Y-5X-2Y+1=3X-2Y-1

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Solution for 6X-2Y-5X-2Y+1=3X-2Y-1 equation:


Simplifying
6X + -2Y + -5X + -2Y + 1 = 3X + -2Y + -1

Reorder the terms:
1 + 6X + -5X + -2Y + -2Y = 3X + -2Y + -1

Combine like terms: 6X + -5X = 1X
1 + 1X + -2Y + -2Y = 3X + -2Y + -1

Combine like terms: -2Y + -2Y = -4Y
1 + 1X + -4Y = 3X + -2Y + -1

Reorder the terms:
1 + 1X + -4Y = -1 + 3X + -2Y

Solving
1 + 1X + -4Y = -1 + 3X + -2Y

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
1 + 1X + -3X + -4Y = -1 + 3X + -3X + -2Y

Combine like terms: 1X + -3X = -2X
1 + -2X + -4Y = -1 + 3X + -3X + -2Y

Combine like terms: 3X + -3X = 0
1 + -2X + -4Y = -1 + 0 + -2Y
1 + -2X + -4Y = -1 + -2Y

Add '-1' to each side of the equation.
1 + -2X + -1 + -4Y = -1 + -1 + -2Y

Reorder the terms:
1 + -1 + -2X + -4Y = -1 + -1 + -2Y

Combine like terms: 1 + -1 = 0
0 + -2X + -4Y = -1 + -1 + -2Y
-2X + -4Y = -1 + -1 + -2Y

Combine like terms: -1 + -1 = -2
-2X + -4Y = -2 + -2Y

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

Combine like terms: -4Y + 4Y = 0
-2X + 0 = -2 + -2Y + 4Y
-2X = -2 + -2Y + 4Y

Combine like terms: -2Y + 4Y = 2Y
-2X = -2 + 2Y

Divide each side by '-2'.
X = 1 + -1Y

Simplifying
X = 1 + -1Y

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