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

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


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

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

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

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

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

Solving
-18 + -2x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-18 + -2x + 4x = 4 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-18 + 2x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 2x = 4 + 0
-18 + 2x = 4

Add '18' to each side of the equation.
-18 + 18 + 2x = 4 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 4 + 18
2x = 4 + 18

Combine like terms: 4 + 18 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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