3x+4(3y-x)-8y+3=0

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Solution for 3x+4(3y-x)-8y+3=0 equation:


Simplifying
3x + 4(3y + -1x) + -8y + 3 = 0

Reorder the terms:
3x + 4(-1x + 3y) + -8y + 3 = 0
3x + (-1x * 4 + 3y * 4) + -8y + 3 = 0
3x + (-4x + 12y) + -8y + 3 = 0

Reorder the terms:
3 + 3x + -4x + 12y + -8y = 0

Combine like terms: 3x + -4x = -1x
3 + -1x + 12y + -8y = 0

Combine like terms: 12y + -8y = 4y
3 + -1x + 4y = 0

Solving
3 + -1x + 4y = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -1x + -3 + 4y = 0 + -3

Reorder the terms:
3 + -3 + -1x + 4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x + 4y = 0 + -3
-1x + 4y = 0 + -3

Combine like terms: 0 + -3 = -3
-1x + 4y = -3

Add '-4y' to each side of the equation.
-1x + 4y + -4y = -3 + -4y

Combine like terms: 4y + -4y = 0
-1x + 0 = -3 + -4y
-1x = -3 + -4y

Divide each side by '-1'.
x = 3 + 4y

Simplifying
x = 3 + 4y

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