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

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


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

Reorder the terms:
3x + -3(-2 + 3x) = 2(4 + -1x) + 3
3x + (-2 * -3 + 3x * -3) = 2(4 + -1x) + 3
3x + (6 + -9x) = 2(4 + -1x) + 3

Reorder the terms:
6 + 3x + -9x = 2(4 + -1x) + 3

Combine like terms: 3x + -9x = -6x
6 + -6x = 2(4 + -1x) + 3
6 + -6x = (4 * 2 + -1x * 2) + 3
6 + -6x = (8 + -2x) + 3

Reorder the terms:
6 + -6x = 8 + 3 + -2x

Combine like terms: 8 + 3 = 11
6 + -6x = 11 + -2x

Solving
6 + -6x = 11 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + -6x + 2x = 11 + -2x + 2x

Combine like terms: -6x + 2x = -4x
6 + -4x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -4x = 11 + 0
6 + -4x = 11

Add '-6' to each side of the equation.
6 + -6 + -4x = 11 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 11 + -6
-4x = 11 + -6

Combine like terms: 11 + -6 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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