5X+Y+2=-15+8Y-X

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Solution for 5X+Y+2=-15+8Y-X equation:


Simplifying
5X + Y + 2 = -15 + 8Y + -1X

Reorder the terms:
2 + 5X + Y = -15 + 8Y + -1X

Reorder the terms:
2 + 5X + Y = -15 + -1X + 8Y

Solving
2 + 5X + Y = -15 + -1X + 8Y

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 + 5X + X + Y = -15 + -1X + X + 8Y

Combine like terms: 5X + X = 6X
2 + 6X + Y = -15 + -1X + X + 8Y

Combine like terms: -1X + X = 0
2 + 6X + Y = -15 + 0 + 8Y
2 + 6X + Y = -15 + 8Y

Add '-2' to each side of the equation.
2 + 6X + -2 + Y = -15 + -2 + 8Y

Reorder the terms:
2 + -2 + 6X + Y = -15 + -2 + 8Y

Combine like terms: 2 + -2 = 0
0 + 6X + Y = -15 + -2 + 8Y
6X + Y = -15 + -2 + 8Y

Combine like terms: -15 + -2 = -17
6X + Y = -17 + 8Y

Add '-1Y' to each side of the equation.
6X + Y + -1Y = -17 + 8Y + -1Y

Combine like terms: Y + -1Y = 0
6X + 0 = -17 + 8Y + -1Y
6X = -17 + 8Y + -1Y

Combine like terms: 8Y + -1Y = 7Y
6X = -17 + 7Y

Divide each side by '6'.
X = -2.833333333 + 1.166666667Y

Simplifying
X = -2.833333333 + 1.166666667Y

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