12+3(x+2y-4)-7(-2x-y)=

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Solution for 12+3(x+2y-4)-7(-2x-y)= equation: 


Simplifying
12 + 3(x + 2y + -4) + -7(-2x + -1y) = 0

Reorder the terms:
12 + 3(-4 + x + 2y) + -7(-2x + -1y) = 0
12 + (-4 * 3 + x * 3 + 2y * 3) + -7(-2x + -1y) = 0
12 + (-12 + 3x + 6y) + -7(-2x + -1y) = 0
12 + -12 + 3x + 6y + (-2x * -7 + -1y * -7) = 0
12 + -12 + 3x + 6y + (14x + 7y) = 0

Reorder the terms:
12 + -12 + 3x + 14x + 6y + 7y = 0

Combine like terms: 12 + -12 = 0
0 + 3x + 14x + 6y + 7y = 0
3x + 14x + 6y + 7y = 0

Combine like terms: 3x + 14x = 17x
17x + 6y + 7y = 0

Combine like terms: 6y + 7y = 13y
17x + 13y = 0

Solving
17x + 13y = 0

Solving for variable 'x'.

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

Add '-13y' to each side of the equation.
17x + 13y + -13y = 0 + -13y

Combine like terms: 13y + -13y = 0
17x + 0 = 0 + -13y
17x = 0 + -13y
Remove the zero:
17x = -13y

Divide each side by '17'.
x = -0.7647058824y

Simplifying
x = -0.7647058824y

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