(3x-4)=-(5x-8)+4

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Solution for (3x-4)=-(5x-8)+4 equation:


Simplifying
(3x + -4) = -1(5x + -8) + 4

Reorder the terms:
(-4 + 3x) = -1(5x + -8) + 4

Remove parenthesis around (-4 + 3x)
-4 + 3x = -1(5x + -8) + 4

Reorder the terms:
-4 + 3x = -1(-8 + 5x) + 4
-4 + 3x = (-8 * -1 + 5x * -1) + 4
-4 + 3x = (8 + -5x) + 4

Reorder the terms:
-4 + 3x = 8 + 4 + -5x

Combine like terms: 8 + 4 = 12
-4 + 3x = 12 + -5x

Solving
-4 + 3x = 12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-4 + 3x + 5x = 12 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-4 + 8x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 8x = 12 + 0
-4 + 8x = 12

Add '4' to each side of the equation.
-4 + 4 + 8x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 12 + 4
8x = 12 + 4

Combine like terms: 12 + 4 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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