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

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


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

Reorder the terms:
2x + -3(-4 + x) = 2(3 + -2x) + 3
2x + (-4 * -3 + x * -3) = 2(3 + -2x) + 3
2x + (12 + -3x) = 2(3 + -2x) + 3

Reorder the terms:
12 + 2x + -3x = 2(3 + -2x) + 3

Combine like terms: 2x + -3x = -1x
12 + -1x = 2(3 + -2x) + 3
12 + -1x = (3 * 2 + -2x * 2) + 3
12 + -1x = (6 + -4x) + 3

Reorder the terms:
12 + -1x = 6 + 3 + -4x

Combine like terms: 6 + 3 = 9
12 + -1x = 9 + -4x

Solving
12 + -1x = 9 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
12 + -1x + 4x = 9 + -4x + 4x

Combine like terms: -1x + 4x = 3x
12 + 3x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 3x = 9 + 0
12 + 3x = 9

Add '-12' to each side of the equation.
12 + -12 + 3x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 9 + -12
3x = 9 + -12

Combine like terms: 9 + -12 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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