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

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


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

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

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

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

Reorder the terms:
12 + -1x = 2(3 + 2 + -2x)

Combine like terms: 3 + 2 = 5
12 + -1x = 2(5 + -2x)
12 + -1x = (5 * 2 + -2x * 2)
12 + -1x = (10 + -4x)

Solving
12 + -1x = 10 + -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 = 10 + -4x + 4x

Combine like terms: -1x + 4x = 3x
12 + 3x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 3x = 10 + 0
12 + 3x = 10

Add '-12' to each side of the equation.
12 + -12 + 3x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 10 + -12
3x = 10 + -12

Combine like terms: 10 + -12 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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