8x-2[20-3(x-4)]=x

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Solution for 8x-2[20-3(x-4)]=x equation:


Simplifying
8x + -2[20 + -3(x + -4)] = x

Reorder the terms:
8x + -2[20 + -3(-4 + x)] = x
8x + -2[20 + (-4 * -3 + x * -3)] = x
8x + -2[20 + (12 + -3x)] = x

Combine like terms: 20 + 12 = 32
8x + -2[32 + -3x] = x
8x + [32 * -2 + -3x * -2] = x
8x + [-64 + 6x] = x

Reorder the terms:
-64 + 8x + 6x = x

Combine like terms: 8x + 6x = 14x
-64 + 14x = x

Solving
-64 + 14x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-64 + 14x + -1x = x + -1x

Combine like terms: 14x + -1x = 13x
-64 + 13x = x + -1x

Combine like terms: x + -1x = 0
-64 + 13x = 0

Add '64' to each side of the equation.
-64 + 64 + 13x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 13x = 0 + 64
13x = 0 + 64

Combine like terms: 0 + 64 = 64
13x = 64

Divide each side by '13'.
x = 4.923076923

Simplifying
x = 4.923076923

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