(x+2y-8)+(3x-4y+9)=

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Solution for (x+2y-8)+(3x-4y+9)= equation:


Simplifying
(x + 2y + -8) + (3x + -4y + 9) = 0

Reorder the terms:
(-8 + x + 2y) + (3x + -4y + 9) = 0

Remove parenthesis around (-8 + x + 2y)
-8 + x + 2y + (3x + -4y + 9) = 0

Reorder the terms:
-8 + x + 2y + (9 + 3x + -4y) = 0

Remove parenthesis around (9 + 3x + -4y)
-8 + x + 2y + 9 + 3x + -4y = 0

Reorder the terms:
-8 + 9 + x + 3x + 2y + -4y = 0

Combine like terms: -8 + 9 = 1
1 + x + 3x + 2y + -4y = 0

Combine like terms: x + 3x = 4x
1 + 4x + 2y + -4y = 0

Combine like terms: 2y + -4y = -2y
1 + 4x + -2y = 0

Solving
1 + 4x + -2y = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + 4x + -1 + -2y = 0 + -1

Reorder the terms:
1 + -1 + 4x + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x + -2y = 0 + -1
4x + -2y = 0 + -1

Combine like terms: 0 + -1 = -1
4x + -2y = -1

Add '2y' to each side of the equation.
4x + -2y + 2y = -1 + 2y

Combine like terms: -2y + 2y = 0
4x + 0 = -1 + 2y
4x = -1 + 2y

Divide each side by '4'.
x = -0.25 + 0.5y

Simplifying
x = -0.25 + 0.5y

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