10x+3Y+5Z-5X+2Z-5Y=

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Solution for 10x+3Y+5Z-5X+2Z-5Y= equation:


Simplifying
10x + 3Y + 5Z + -5X + 2Z + -5Y = 0

Reorder the terms:
-5X + 3Y + -5Y + 5Z + 2Z + 10x = 0

Combine like terms: 3Y + -5Y = -2Y
-5X + -2Y + 5Z + 2Z + 10x = 0

Combine like terms: 5Z + 2Z = 7Z
-5X + -2Y + 7Z + 10x = 0

Solving
-5X + -2Y + 7Z + 10x = 0

Solving for variable 'X'.

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

Add '2Y' to each side of the equation.
-5X + -2Y + 7Z + 2Y + 10x = 0 + 2Y

Reorder the terms:
-5X + -2Y + 2Y + 7Z + 10x = 0 + 2Y

Combine like terms: -2Y + 2Y = 0
-5X + 0 + 7Z + 10x = 0 + 2Y
-5X + 7Z + 10x = 0 + 2Y
Remove the zero:
-5X + 7Z + 10x = 2Y

Add '-7Z' to each side of the equation.
-5X + 7Z + -7Z + 10x = 2Y + -7Z

Combine like terms: 7Z + -7Z = 0
-5X + 0 + 10x = 2Y + -7Z
-5X + 10x = 2Y + -7Z

Add '-10x' to each side of the equation.
-5X + 10x + -10x = 2Y + -7Z + -10x

Combine like terms: 10x + -10x = 0
-5X + 0 = 2Y + -7Z + -10x
-5X = 2Y + -7Z + -10x

Divide each side by '-5'.
X = -0.4Y + 1.4Z + 2x

Simplifying
X = -0.4Y + 1.4Z + 2x

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