8+2(3x-5)-7x+6y=16

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Solution for 8+2(3x-5)-7x+6y=16 equation:


Simplifying
8 + 2(3x + -5) + -7x + 6y = 16

Reorder the terms:
8 + 2(-5 + 3x) + -7x + 6y = 16
8 + (-5 * 2 + 3x * 2) + -7x + 6y = 16
8 + (-10 + 6x) + -7x + 6y = 16

Combine like terms: 8 + -10 = -2
-2 + 6x + -7x + 6y = 16

Combine like terms: 6x + -7x = -1x
-2 + -1x + 6y = 16

Solving
-2 + -1x + 6y = 16

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + -1x + 2 + 6y = 16 + 2

Reorder the terms:
-2 + 2 + -1x + 6y = 16 + 2

Combine like terms: -2 + 2 = 0
0 + -1x + 6y = 16 + 2
-1x + 6y = 16 + 2

Combine like terms: 16 + 2 = 18
-1x + 6y = 18

Add '-6y' to each side of the equation.
-1x + 6y + -6y = 18 + -6y

Combine like terms: 6y + -6y = 0
-1x + 0 = 18 + -6y
-1x = 18 + -6y

Divide each side by '-1'.
x = -18 + 6y

Simplifying
x = -18 + 6y

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