4x-3(2-x)-3(2x-1)=3x-6

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Solution for 4x-3(2-x)-3(2x-1)=3x-6 equation: 


Simplifying
4x + -3(2 + -1x) + -3(2x + -1) = 3x + -6
4x + (2 * -3 + -1x * -3) + -3(2x + -1) = 3x + -6
4x + (-6 + 3x) + -3(2x + -1) = 3x + -6

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

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

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

Combine like terms: 4x + 3x = 7x
-3 + 7x + -6x = 3x + -6

Combine like terms: 7x + -6x = 1x
-3 + 1x = 3x + -6

Reorder the terms:
-3 + 1x = -6 + 3x

Solving
-3 + 1x = -6 + 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.
-3 + 1x + -3x = -6 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-3 + -2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -2x = -6 + 0
-3 + -2x = -6

Add '3' to each side of the equation.
-3 + 3 + -2x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -6 + 3
-2x = -6 + 3

Combine like terms: -6 + 3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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