3(2x-4y)-4(1x-5)=24

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Solution for 3(2x-4y)-4(1x-5)=24 equation:


Simplifying
3(2x + -4y) + -4(1x + -5) = 24
(2x * 3 + -4y * 3) + -4(1x + -5) = 24
(6x + -12y) + -4(1x + -5) = 24

Reorder the terms:
6x + -12y + -4(-5 + 1x) = 24
6x + -12y + (-5 * -4 + 1x * -4) = 24
6x + -12y + (20 + -4x) = 24

Reorder the terms:
20 + 6x + -4x + -12y = 24

Combine like terms: 6x + -4x = 2x
20 + 2x + -12y = 24

Solving
20 + 2x + -12y = 24

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + 2x + -20 + -12y = 24 + -20

Reorder the terms:
20 + -20 + 2x + -12y = 24 + -20

Combine like terms: 20 + -20 = 0
0 + 2x + -12y = 24 + -20
2x + -12y = 24 + -20

Combine like terms: 24 + -20 = 4
2x + -12y = 4

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

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

Divide each side by '2'.
x = 2 + 6y

Simplifying
x = 2 + 6y

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