2x-3(x+6)=-4(y-1)

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Solution for 2x-3(x+6)=-4(y-1) equation:


Simplifying
2x + -3(x + 6) = -4(y + -1)

Reorder the terms:
2x + -3(6 + x) = -4(y + -1)
2x + (6 * -3 + x * -3) = -4(y + -1)
2x + (-18 + -3x) = -4(y + -1)

Reorder the terms:
-18 + 2x + -3x = -4(y + -1)

Combine like terms: 2x + -3x = -1x
-18 + -1x = -4(y + -1)

Reorder the terms:
-18 + -1x = -4(-1 + y)
-18 + -1x = (-1 * -4 + y * -4)
-18 + -1x = (4 + -4y)

Solving
-18 + -1x = 4 + -4y

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 4 + 18 + -4y

Combine like terms: -18 + 18 = 0
0 + -1x = 4 + 18 + -4y
-1x = 4 + 18 + -4y

Combine like terms: 4 + 18 = 22
-1x = 22 + -4y

Divide each side by '-1'.
x = -22 + 4y

Simplifying
x = -22 + 4y

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