2(3x-1)-3=(x+3)-4x

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Solution for 2(3x-1)-3=(x+3)-4x equation:


Simplifying
2(3x + -1) + -3 = (x + 3) + -4x

Reorder the terms:
2(-1 + 3x) + -3 = (x + 3) + -4x
(-1 * 2 + 3x * 2) + -3 = (x + 3) + -4x
(-2 + 6x) + -3 = (x + 3) + -4x

Reorder the terms:
-2 + -3 + 6x = (x + 3) + -4x

Combine like terms: -2 + -3 = -5
-5 + 6x = (x + 3) + -4x

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

Remove parenthesis around (3 + x)
-5 + 6x = 3 + x + -4x

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

Solving
-5 + 6x = 3 + -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.
-5 + 6x + 3x = 3 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-5 + 9x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 9x = 3 + 0
-5 + 9x = 3

Add '5' to each side of the equation.
-5 + 5 + 9x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 3 + 5
9x = 3 + 5

Combine like terms: 3 + 5 = 8
9x = 8

Divide each side by '9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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