5(2x-y)-3(3x-7)=6

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Solution for 5(2x-y)-3(3x-7)=6 equation: 


Simplifying
5(2x + -1y) + -3(3x + -7) = 6
(2x * 5 + -1y * 5) + -3(3x + -7) = 6
(10x + -5y) + -3(3x + -7) = 6

Reorder the terms:
10x + -5y + -3(-7 + 3x) = 6
10x + -5y + (-7 * -3 + 3x * -3) = 6
10x + -5y + (21 + -9x) = 6

Reorder the terms:
21 + 10x + -9x + -5y = 6

Combine like terms: 10x + -9x = 1x
21 + 1x + -5y = 6

Solving
21 + 1x + -5y = 6

Solving for variable 'x'.

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

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

Reorder the terms:
21 + -21 + 1x + -5y = 6 + -21

Combine like terms: 21 + -21 = 0
0 + 1x + -5y = 6 + -21
1x + -5y = 6 + -21

Combine like terms: 6 + -21 = -15
1x + -5y = -15

Add '5y' to each side of the equation.
1x + -5y + 5y = -15 + 5y

Combine like terms: -5y + 5y = 0
1x + 0 = -15 + 5y
1x = -15 + 5y

Divide each side by '1'.
x = -15 + 5y

Simplifying
x = -15 + 5y

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