(3x+y)*2+(x-5)*2=0

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Solution for (3x+y)*2+(x-5)*2=0 equation:


Simplifying
(3x + y) * 2 + (x + -5) * 2 = 0

Reorder the terms for easier multiplication:
2(3x + y) + (x + -5) * 2 = 0
(3x * 2 + y * 2) + (x + -5) * 2 = 0
(6x + 2y) + (x + -5) * 2 = 0

Reorder the terms:
6x + 2y + (-5 + x) * 2 = 0

Reorder the terms for easier multiplication:
6x + 2y + 2(-5 + x) = 0
6x + 2y + (-5 * 2 + x * 2) = 0
6x + 2y + (-10 + 2x) = 0

Reorder the terms:
-10 + 6x + 2x + 2y = 0

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

Solving
-10 + 8x + 2y = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 8x + 10 + 2y = 0 + 10

Reorder the terms:
-10 + 10 + 8x + 2y = 0 + 10

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

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

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

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

Divide each side by '8'.
x = 1.25 + -0.25y

Simplifying
x = 1.25 + -0.25y

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