4x-4=6-(3x+5)-3

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Solution for 4x-4=6-(3x+5)-3 equation:


Simplifying
4x + -4 = 6 + -1(3x + 5) + -3

Reorder the terms:
-4 + 4x = 6 + -1(3x + 5) + -3

Reorder the terms:
-4 + 4x = 6 + -1(5 + 3x) + -3
-4 + 4x = 6 + (5 * -1 + 3x * -1) + -3
-4 + 4x = 6 + (-5 + -3x) + -3

Reorder the terms:
-4 + 4x = 6 + -5 + -3 + -3x

Combine like terms: 6 + -5 = 1
-4 + 4x = 1 + -3 + -3x

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

Solving
-4 + 4x = -2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + 4x + 3x = -2 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-4 + 7x = -2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 7x = -2 + 0
-4 + 7x = -2

Add '4' to each side of the equation.
-4 + 4 + 7x = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = -2 + 4
7x = -2 + 4

Combine like terms: -2 + 4 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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