3x+4y+6+8=10y+8x-16+2

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Solution for 3x+4y+6+8=10y+8x-16+2 equation:


Simplifying
3x + 4y + 6 + 8 = 10y + 8x + -16 + 2

Reorder the terms:
6 + 8 + 3x + 4y = 10y + 8x + -16 + 2

Combine like terms: 6 + 8 = 14
14 + 3x + 4y = 10y + 8x + -16 + 2

Reorder the terms:
14 + 3x + 4y = -16 + 2 + 8x + 10y

Combine like terms: -16 + 2 = -14
14 + 3x + 4y = -14 + 8x + 10y

Solving
14 + 3x + 4y = -14 + 8x + 10y

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14 + 3x + -8x + 4y = -14 + 8x + -8x + 10y

Combine like terms: 3x + -8x = -5x
14 + -5x + 4y = -14 + 8x + -8x + 10y

Combine like terms: 8x + -8x = 0
14 + -5x + 4y = -14 + 0 + 10y
14 + -5x + 4y = -14 + 10y

Add '-14' to each side of the equation.
14 + -5x + -14 + 4y = -14 + -14 + 10y

Reorder the terms:
14 + -14 + -5x + 4y = -14 + -14 + 10y

Combine like terms: 14 + -14 = 0
0 + -5x + 4y = -14 + -14 + 10y
-5x + 4y = -14 + -14 + 10y

Combine like terms: -14 + -14 = -28
-5x + 4y = -28 + 10y

Add '-4y' to each side of the equation.
-5x + 4y + -4y = -28 + 10y + -4y

Combine like terms: 4y + -4y = 0
-5x + 0 = -28 + 10y + -4y
-5x = -28 + 10y + -4y

Combine like terms: 10y + -4y = 6y
-5x = -28 + 6y

Divide each side by '-5'.
x = 5.6 + -1.2y

Simplifying
x = 5.6 + -1.2y

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