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

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


Simplifying
4(4 + -1x) + 6x = 4x + 12 + -1y
(4 * 4 + -1x * 4) + 6x = 4x + 12 + -1y
(16 + -4x) + 6x = 4x + 12 + -1y

Combine like terms: -4x + 6x = 2x
16 + 2x = 4x + 12 + -1y

Reorder the terms:
16 + 2x = 12 + 4x + -1y

Solving
16 + 2x = 12 + 4x + -1y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 2x + -4x = 12 + 4x + -4x + -1y

Combine like terms: 2x + -4x = -2x
16 + -2x = 12 + 4x + -4x + -1y

Combine like terms: 4x + -4x = 0
16 + -2x = 12 + 0 + -1y
16 + -2x = 12 + -1y

Add '-16' to each side of the equation.
16 + -16 + -2x = 12 + -16 + -1y

Combine like terms: 16 + -16 = 0
0 + -2x = 12 + -16 + -1y
-2x = 12 + -16 + -1y

Combine like terms: 12 + -16 = -4
-2x = -4 + -1y

Divide each side by '-2'.
x = 2 + 0.5y

Simplifying
x = 2 + 0.5y

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