1.6x-2[x-3.6(x+9)]=x

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Solution for 1.6x-2[x-3.6(x+9)]=x equation:


Simplifying
1.6x + -2[x + -3.6(x + 9)] = x

Reorder the terms:
1.6x + -2[x + -3.6(9 + x)] = x
1.6x + -2[x + (9 * -3.6 + x * -3.6)] = x
1.6x + -2[x + (-32.4 + -3.6x)] = x

Reorder the terms:
1.6x + -2[-32.4 + x + -3.6x] = x

Combine like terms: x + -3.6x = -2.6x
1.6x + -2[-32.4 + -2.6x] = x
1.6x + [-32.4 * -2 + -2.6x * -2] = x
1.6x + [64.8 + 5.2x] = x

Reorder the terms:
64.8 + 1.6x + 5.2x = x

Combine like terms: 1.6x + 5.2x = 6.8x
64.8 + 6.8x = x

Solving
64.8 + 6.8x = 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.
64.8 + 6.8x + -1x = x + -1x

Combine like terms: 6.8x + -1x = 5.8x
64.8 + 5.8x = x + -1x

Combine like terms: x + -1x = 0
64.8 + 5.8x = 0

Add '-64.8' to each side of the equation.
64.8 + -64.8 + 5.8x = 0 + -64.8

Combine like terms: 64.8 + -64.8 = 0.0
0.0 + 5.8x = 0 + -64.8
5.8x = 0 + -64.8

Combine like terms: 0 + -64.8 = -64.8
5.8x = -64.8

Divide each side by '5.8'.
x = -11.17241379

Simplifying
x = -11.17241379

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