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

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


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

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

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

Combine like terms: 3x + -3x = 0
-18 + 0 = -4(x + -1)
-18 = -4(x + -1)

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

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

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

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

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

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

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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