3(x-1)-2(7y+3)=14

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Solution for 3(x-1)-2(7y+3)=14 equation:


Simplifying
3(x + -1) + -2(7y + 3) = 14

Reorder the terms:
3(-1 + x) + -2(7y + 3) = 14
(-1 * 3 + x * 3) + -2(7y + 3) = 14
(-3 + 3x) + -2(7y + 3) = 14

Reorder the terms:
-3 + 3x + -2(3 + 7y) = 14
-3 + 3x + (3 * -2 + 7y * -2) = 14
-3 + 3x + (-6 + -14y) = 14

Reorder the terms:
-3 + -6 + 3x + -14y = 14

Combine like terms: -3 + -6 = -9
-9 + 3x + -14y = 14

Solving
-9 + 3x + -14y = 14

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 3x + 9 + -14y = 14 + 9

Reorder the terms:
-9 + 9 + 3x + -14y = 14 + 9

Combine like terms: -9 + 9 = 0
0 + 3x + -14y = 14 + 9
3x + -14y = 14 + 9

Combine like terms: 14 + 9 = 23
3x + -14y = 23

Add '14y' to each side of the equation.
3x + -14y + 14y = 23 + 14y

Combine like terms: -14y + 14y = 0
3x + 0 = 23 + 14y
3x = 23 + 14y

Divide each side by '3'.
x = 7.666666667 + 4.666666667y

Simplifying
x = 7.666666667 + 4.666666667y

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