3(2x-7y+1)-3=x-5y+2

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Solution for 3(2x-7y+1)-3=x-5y+2 equation: 


Simplifying
3(2x + -7y + 1) + -3 = x + -5y + 2

Reorder the terms:
3(1 + 2x + -7y) + -3 = x + -5y + 2
(1 * 3 + 2x * 3 + -7y * 3) + -3 = x + -5y + 2
(3 + 6x + -21y) + -3 = x + -5y + 2

Reorder the terms:
3 + -3 + 6x + -21y = x + -5y + 2

Combine like terms: 3 + -3 = 0
0 + 6x + -21y = x + -5y + 2
6x + -21y = x + -5y + 2

Reorder the terms:
6x + -21y = 2 + x + -5y

Solving
6x + -21y = 2 + x + -5y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6x + -1x + -21y = 2 + x + -1x + -5y

Combine like terms: 6x + -1x = 5x
5x + -21y = 2 + x + -1x + -5y

Combine like terms: x + -1x = 0
5x + -21y = 2 + 0 + -5y
5x + -21y = 2 + -5y

Add '21y' to each side of the equation.
5x + -21y + 21y = 2 + -5y + 21y

Combine like terms: -21y + 21y = 0
5x + 0 = 2 + -5y + 21y
5x = 2 + -5y + 21y

Combine like terms: -5y + 21y = 16y
5x = 2 + 16y

Divide each side by '5'.
x = 0.4 + 3.2y

Simplifying
x = 0.4 + 3.2y

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