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

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


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

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

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

Combine like terms: 3x + -6x = -3x
4 + -3x = 2(4x + -1x) + 3

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

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

Multiply 2 * 3
4 + -3x = 6x + 3

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

Solving
4 + -3x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + -3x + -6x = 3 + 6x + -6x

Combine like terms: -3x + -6x = -9x
4 + -9x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -9x = 3 + 0
4 + -9x = 3

Add '-4' to each side of the equation.
4 + -4 + -9x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 3 + -4
-9x = 3 + -4

Combine like terms: 3 + -4 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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