(3x-3)+3(4x+8)=4x-1

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Solution for (3x-3)+3(4x+8)=4x-1 equation: 


Simplifying
(3x + -3) + 3(4x + 8) = 4x + -1

Reorder the terms:
(-3 + 3x) + 3(4x + 8) = 4x + -1

Remove parenthesis around (-3 + 3x)
-3 + 3x + 3(4x + 8) = 4x + -1

Reorder the terms:
-3 + 3x + 3(8 + 4x) = 4x + -1
-3 + 3x + (8 * 3 + 4x * 3) = 4x + -1
-3 + 3x + (24 + 12x) = 4x + -1

Reorder the terms:
-3 + 24 + 3x + 12x = 4x + -1

Combine like terms: -3 + 24 = 21
21 + 3x + 12x = 4x + -1

Combine like terms: 3x + 12x = 15x
21 + 15x = 4x + -1

Reorder the terms:
21 + 15x = -1 + 4x

Solving
21 + 15x = -1 + 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.
21 + 15x + -4x = -1 + 4x + -4x

Combine like terms: 15x + -4x = 11x
21 + 11x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + 11x = -1 + 0
21 + 11x = -1

Add '-21' to each side of the equation.
21 + -21 + 11x = -1 + -21

Combine like terms: 21 + -21 = 0
0 + 11x = -1 + -21
11x = -1 + -21

Combine like terms: -1 + -21 = -22
11x = -22

Divide each side by '11'.
x = -2

Simplifying
x = -2

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