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

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


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

Reorder the terms:
4(3 + x) + 2y = x + -8
(3 * 4 + x * 4) + 2y = x + -8
(12 + 4x) + 2y = x + -8

Reorder the terms:
12 + 4x + 2y = -8 + x

Solving
12 + 4x + 2y = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 4x + -1x + 2y = -8 + x + -1x

Combine like terms: 4x + -1x = 3x
12 + 3x + 2y = -8 + x + -1x

Combine like terms: x + -1x = 0
12 + 3x + 2y = -8 + 0
12 + 3x + 2y = -8

Add '-12' to each side of the equation.
12 + 3x + -12 + 2y = -8 + -12

Reorder the terms:
12 + -12 + 3x + 2y = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 3x + 2y = -8 + -12
3x + 2y = -8 + -12

Combine like terms: -8 + -12 = -20
3x + 2y = -20

Add '-2y' to each side of the equation.
3x + 2y + -2y = -20 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = -20 + -2y
3x = -20 + -2y

Divide each side by '3'.
x = -6.666666667 + -0.6666666667y

Simplifying
x = -6.666666667 + -0.6666666667y

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