(3x-4)-3(2-3)=8+(4x-4)

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Solution for (3x-4)-3(2-3)=8+(4x-4) equation:


Simplifying
(3x + -4) + -3(2 + -3) = 8 + (4x + -4)

Reorder the terms:
(-4 + 3x) + -3(2 + -3) = 8 + (4x + -4)

Remove parenthesis around (-4 + 3x)
-4 + 3x + -3(2 + -3) = 8 + (4x + -4)

Combine like terms: 2 + -3 = -1
-4 + 3x + -3(-1) = 8 + (4x + -4)

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

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

Combine like terms: -4 + 3 = -1
-1 + 3x = 8 + (4x + -4)

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

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

Combine like terms: 8 + -4 = 4
-1 + 3x = 4 + 4x

Solving
-1 + 3x = 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.
-1 + 3x + -4x = 4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1 + -1x = 4 + 4x + -4x

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

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

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

Combine like terms: 4 + 1 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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