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

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


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

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

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

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

Reorder the terms:
4 + -3x = 4 + 3 + -1x

Combine like terms: 4 + 3 = 7
4 + -3x = 7 + -1x

Solving
4 + -3x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + -3x + x = 7 + -1x + x

Combine like terms: -3x + x = -2x
4 + -2x = 7 + -1x + x

Combine like terms: -1x + x = 0
4 + -2x = 7 + 0
4 + -2x = 7

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

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

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

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

Simplifying
x = -1.5

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