9x+6y+28=2x+8y-14

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Solution for 9x+6y+28=2x+8y-14 equation:


Simplifying
9x + 6y + 28 = 2x + 8y + -14

Reorder the terms:
28 + 9x + 6y = 2x + 8y + -14

Reorder the terms:
28 + 9x + 6y = -14 + 2x + 8y

Solving
28 + 9x + 6y = -14 + 2x + 8y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
28 + 9x + -2x + 6y = -14 + 2x + -2x + 8y

Combine like terms: 9x + -2x = 7x
28 + 7x + 6y = -14 + 2x + -2x + 8y

Combine like terms: 2x + -2x = 0
28 + 7x + 6y = -14 + 0 + 8y
28 + 7x + 6y = -14 + 8y

Add '-28' to each side of the equation.
28 + 7x + -28 + 6y = -14 + -28 + 8y

Reorder the terms:
28 + -28 + 7x + 6y = -14 + -28 + 8y

Combine like terms: 28 + -28 = 0
0 + 7x + 6y = -14 + -28 + 8y
7x + 6y = -14 + -28 + 8y

Combine like terms: -14 + -28 = -42
7x + 6y = -42 + 8y

Add '-6y' to each side of the equation.
7x + 6y + -6y = -42 + 8y + -6y

Combine like terms: 6y + -6y = 0
7x + 0 = -42 + 8y + -6y
7x = -42 + 8y + -6y

Combine like terms: 8y + -6y = 2y
7x = -42 + 2y

Divide each side by '7'.
x = -6 + 0.2857142857y

Simplifying
x = -6 + 0.2857142857y

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