5[2-(2x-4)]=2(1-3x)

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Solution for 5[2-(2x-4)]=2(1-3x) equation:


Simplifying
5[2 + -1(2x + -4)] = 2(1 + -3x)

Reorder the terms:
5[2 + -1(-4 + 2x)] = 2(1 + -3x)
5[2 + (-4 * -1 + 2x * -1)] = 2(1 + -3x)
5[2 + (4 + -2x)] = 2(1 + -3x)

Combine like terms: 2 + 4 = 6
5[6 + -2x] = 2(1 + -3x)
[6 * 5 + -2x * 5] = 2(1 + -3x)
[30 + -10x] = 2(1 + -3x)
30 + -10x = (1 * 2 + -3x * 2)
30 + -10x = (2 + -6x)

Solving
30 + -10x = 2 + -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.
30 + -10x + 6x = 2 + -6x + 6x

Combine like terms: -10x + 6x = -4x
30 + -4x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
30 + -4x = 2 + 0
30 + -4x = 2

Add '-30' to each side of the equation.
30 + -30 + -4x = 2 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = 2 + -30
-4x = 2 + -30

Combine like terms: 2 + -30 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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