6+4x-7=-8x+7-12(x+y)

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Solution for 6+4x-7=-8x+7-12(x+y) equation:


Simplifying
6 + 4x + -7 = -8x + 7 + -12(x + y)

Reorder the terms:
6 + -7 + 4x = -8x + 7 + -12(x + y)

Combine like terms: 6 + -7 = -1
-1 + 4x = -8x + 7 + -12(x + y)
-1 + 4x = -8x + 7 + (x * -12 + y * -12)
-1 + 4x = -8x + 7 + (-12x + -12y)

Reorder the terms:
-1 + 4x = 7 + -8x + -12x + -12y

Combine like terms: -8x + -12x = -20x
-1 + 4x = 7 + -20x + -12y

Solving
-1 + 4x = 7 + -20x + -12y

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-1 + 4x + 20x = 7 + -20x + 20x + -12y

Combine like terms: 4x + 20x = 24x
-1 + 24x = 7 + -20x + 20x + -12y

Combine like terms: -20x + 20x = 0
-1 + 24x = 7 + 0 + -12y
-1 + 24x = 7 + -12y

Add '1' to each side of the equation.
-1 + 1 + 24x = 7 + 1 + -12y

Combine like terms: -1 + 1 = 0
0 + 24x = 7 + 1 + -12y
24x = 7 + 1 + -12y

Combine like terms: 7 + 1 = 8
24x = 8 + -12y

Divide each side by '24'.
x = 0.3333333333 + -0.5y

Simplifying
x = 0.3333333333 + -0.5y

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