7-3(x-4)+2(3y-1)=

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Solution for 7-3(x-4)+2(3y-1)= equation:


Simplifying
7 + -3(x + -4) + 2(3y + -1) = 0

Reorder the terms:
7 + -3(-4 + x) + 2(3y + -1) = 0
7 + (-4 * -3 + x * -3) + 2(3y + -1) = 0
7 + (12 + -3x) + 2(3y + -1) = 0

Reorder the terms:
7 + 12 + -3x + 2(-1 + 3y) = 0
7 + 12 + -3x + (-1 * 2 + 3y * 2) = 0
7 + 12 + -3x + (-2 + 6y) = 0

Reorder the terms:
7 + 12 + -2 + -3x + 6y = 0

Combine like terms: 7 + 12 = 19
19 + -2 + -3x + 6y = 0

Combine like terms: 19 + -2 = 17
17 + -3x + 6y = 0

Solving
17 + -3x + 6y = 0

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -3x + -17 + 6y = 0 + -17

Reorder the terms:
17 + -17 + -3x + 6y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -3x + 6y = 0 + -17
-3x + 6y = 0 + -17

Combine like terms: 0 + -17 = -17
-3x + 6y = -17

Add '-6y' to each side of the equation.
-3x + 6y + -6y = -17 + -6y

Combine like terms: 6y + -6y = 0
-3x + 0 = -17 + -6y
-3x = -17 + -6y

Divide each side by '-3'.
x = 5.666666667 + 2y

Simplifying
x = 5.666666667 + 2y

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