2x+6y-10=10x+4y+2

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Solution for 2x+6y-10=10x+4y+2 equation:


Simplifying
2x + 6y + -10 = 10x + 4y + 2

Reorder the terms:
-10 + 2x + 6y = 10x + 4y + 2

Reorder the terms:
-10 + 2x + 6y = 2 + 10x + 4y

Solving
-10 + 2x + 6y = 2 + 10x + 4y

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-10 + 2x + -10x + 6y = 2 + 10x + -10x + 4y

Combine like terms: 2x + -10x = -8x
-10 + -8x + 6y = 2 + 10x + -10x + 4y

Combine like terms: 10x + -10x = 0
-10 + -8x + 6y = 2 + 0 + 4y
-10 + -8x + 6y = 2 + 4y

Add '10' to each side of the equation.
-10 + -8x + 10 + 6y = 2 + 10 + 4y

Reorder the terms:
-10 + 10 + -8x + 6y = 2 + 10 + 4y

Combine like terms: -10 + 10 = 0
0 + -8x + 6y = 2 + 10 + 4y
-8x + 6y = 2 + 10 + 4y

Combine like terms: 2 + 10 = 12
-8x + 6y = 12 + 4y

Add '-6y' to each side of the equation.
-8x + 6y + -6y = 12 + 4y + -6y

Combine like terms: 6y + -6y = 0
-8x + 0 = 12 + 4y + -6y
-8x = 12 + 4y + -6y

Combine like terms: 4y + -6y = -2y
-8x = 12 + -2y

Divide each side by '-8'.
x = -1.5 + 0.25y

Simplifying
x = -1.5 + 0.25y

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