10(2x+4y)=-(-8-9x)+3x

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Solution for 10(2x+4y)=-(-8-9x)+3x equation:


Simplifying
10(2x + 4y) = -1(-8 + -9x) + 3x
(2x * 10 + 4y * 10) = -1(-8 + -9x) + 3x
(20x + 40y) = -1(-8 + -9x) + 3x
20x + 40y = (-8 * -1 + -9x * -1) + 3x
20x + 40y = (8 + 9x) + 3x

Combine like terms: 9x + 3x = 12x
20x + 40y = 8 + 12x

Solving
20x + 40y = 8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
20x + -12x + 40y = 8 + 12x + -12x

Combine like terms: 20x + -12x = 8x
8x + 40y = 8 + 12x + -12x

Combine like terms: 12x + -12x = 0
8x + 40y = 8 + 0
8x + 40y = 8

Add '-40y' to each side of the equation.
8x + 40y + -40y = 8 + -40y

Combine like terms: 40y + -40y = 0
8x + 0 = 8 + -40y
8x = 8 + -40y

Divide each side by '8'.
x = 1 + -5y

Simplifying
x = 1 + -5y

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