(5x+8y)-(3y-6)+(8x+6)=

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


Simplifying
(5x + 8y) + -1(3y + -6) + (8x + 6) = 0

Remove parenthesis around (5x + 8y)
5x + 8y + -1(3y + -6) + (8x + 6) = 0

Reorder the terms:
5x + 8y + -1(-6 + 3y) + (8x + 6) = 0
5x + 8y + (-6 * -1 + 3y * -1) + (8x + 6) = 0
5x + 8y + (6 + -3y) + (8x + 6) = 0

Reorder the terms:
5x + 8y + 6 + -3y + (6 + 8x) = 0

Remove parenthesis around (6 + 8x)
5x + 8y + 6 + -3y + 6 + 8x = 0

Reorder the terms:
6 + 6 + 5x + 8x + 8y + -3y = 0

Combine like terms: 6 + 6 = 12
12 + 5x + 8x + 8y + -3y = 0

Combine like terms: 5x + 8x = 13x
12 + 13x + 8y + -3y = 0

Combine like terms: 8y + -3y = 5y
12 + 13x + 5y = 0

Solving
12 + 13x + 5y = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 13x + -12 + 5y = 0 + -12

Reorder the terms:
12 + -12 + 13x + 5y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 13x + 5y = 0 + -12
13x + 5y = 0 + -12

Combine like terms: 0 + -12 = -12
13x + 5y = -12

Add '-5y' to each side of the equation.
13x + 5y + -5y = -12 + -5y

Combine like terms: 5y + -5y = 0
13x + 0 = -12 + -5y
13x = -12 + -5y

Divide each side by '13'.
x = -0.9230769231 + -0.3846153846y

Simplifying
x = -0.9230769231 + -0.3846153846y

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