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

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Solution for 10(x-2y)-4(2x-y)= equation: 


Simplifying
10(x + -2y) + -4(2x + -1y) = 0
(x * 10 + -2y * 10) + -4(2x + -1y) = 0
(10x + -20y) + -4(2x + -1y) = 0
10x + -20y + (2x * -4 + -1y * -4) = 0
10x + -20y + (-8x + 4y) = 0

Reorder the terms:
10x + -8x + -20y + 4y = 0

Combine like terms: 10x + -8x = 2x
2x + -20y + 4y = 0

Combine like terms: -20y + 4y = -16y
2x + -16y = 0

Solving
2x + -16y = 0

Solving for variable 'x'.

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

Add '16y' to each side of the equation.
2x + -16y + 16y = 0 + 16y

Combine like terms: -16y + 16y = 0
2x + 0 = 0 + 16y
2x = 0 + 16y
Remove the zero:
2x = 16y

Divide each side by '2'.
x = 8y

Simplifying
x = 8y

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