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

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


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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -8 + 8 = 0
0 + 4x = 4 + 8 + -2y
4x = 4 + 8 + -2y

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

Divide each side by '4'.
x = 3 + -0.5y

Simplifying
x = 3 + -0.5y

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