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

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


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

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

Combine like terms: 2 + 6 = 8
-2x + 4[8 + -3x] = 4
-2x + [8 * 4 + -3x * 4] = 4
-2x + [32 + -12x] = 4

Reorder the terms:
32 + -2x + -12x = 4

Combine like terms: -2x + -12x = -14x
32 + -14x = 4

Solving
32 + -14x = 4

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -14x = 4 + -32

Combine like terms: 32 + -32 = 0
0 + -14x = 4 + -32
-14x = 4 + -32

Combine like terms: 4 + -32 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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