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

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


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

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

Combine like terms: 2 + 3 = 5
4[5 + -2x] = 2(2 + -3x)
[5 * 4 + -2x * 4] = 2(2 + -3x)
[20 + -8x] = 2(2 + -3x)
20 + -8x = (2 * 2 + -3x * 2)
20 + -8x = (4 + -6x)

Solving
20 + -8x = 4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
20 + -8x + 6x = 4 + -6x + 6x

Combine like terms: -8x + 6x = -2x
20 + -2x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
20 + -2x = 4 + 0
20 + -2x = 4

Add '-20' to each side of the equation.
20 + -20 + -2x = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 4 + -20
-2x = 4 + -20

Combine like terms: 4 + -20 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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