2(x-4)=5y+2

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Solution for 2(x-4)=5y+2 equation:


Simplifying
2(x + -4) = 5y + 2

Reorder the terms:
2(-4 + x) = 5y + 2
(-4 * 2 + x * 2) = 5y + 2
(-8 + 2x) = 5y + 2

Reorder the terms:
-8 + 2x = 2 + 5y

Solving
-8 + 2x = 2 + 5y

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 + 2x = 2 + 8 + 5y

Combine like terms: -8 + 8 = 0
0 + 2x = 2 + 8 + 5y
2x = 2 + 8 + 5y

Combine like terms: 2 + 8 = 10
2x = 10 + 5y

Divide each side by '2'.
x = 5 + 2.5y

Simplifying
x = 5 + 2.5y

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