(3x+2y-10)+(4x-4y+8)=

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Solution for (3x+2y-10)+(4x-4y+8)= equation:


Simplifying
(3x + 2y + -10) + (4x + -4y + 8) = 0

Reorder the terms:
(-10 + 3x + 2y) + (4x + -4y + 8) = 0

Remove parenthesis around (-10 + 3x + 2y)
-10 + 3x + 2y + (4x + -4y + 8) = 0

Reorder the terms:
-10 + 3x + 2y + (8 + 4x + -4y) = 0

Remove parenthesis around (8 + 4x + -4y)
-10 + 3x + 2y + 8 + 4x + -4y = 0

Reorder the terms:
-10 + 8 + 3x + 4x + 2y + -4y = 0

Combine like terms: -10 + 8 = -2
-2 + 3x + 4x + 2y + -4y = 0

Combine like terms: 3x + 4x = 7x
-2 + 7x + 2y + -4y = 0

Combine like terms: 2y + -4y = -2y
-2 + 7x + -2y = 0

Solving
-2 + 7x + -2y = 0

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 + 7x + 2 + -2y = 0 + 2

Reorder the terms:
-2 + 2 + 7x + -2y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7x + -2y = 0 + 2
7x + -2y = 0 + 2

Combine like terms: 0 + 2 = 2
7x + -2y = 2

Add '2y' to each side of the equation.
7x + -2y + 2y = 2 + 2y

Combine like terms: -2y + 2y = 0
7x + 0 = 2 + 2y
7x = 2 + 2y

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

Simplifying
x = 0.2857142857 + 0.2857142857y

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