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

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


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

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

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

Reorder the terms:
5 + -1x = 4x + -4(-3 + x)
5 + -1x = 4x + (-3 * -4 + x * -4)
5 + -1x = 4x + (12 + -4x)

Reorder the terms:
5 + -1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = 12 + 0
5 + -1x = 12

Solving
5 + -1x = 12

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 12 + -5
-1x = 12 + -5

Combine like terms: 12 + -5 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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