2[2(83x-1)+3]-2(2x+5)=2(3x-3)

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Solution for 2[2(83x-1)+3]-2(2x+5)=2(3x-3) equation: 


Simplifying
2[2(83x + -1) + 3] + -2(2x + 5) = 2(3x + -3)

Reorder the terms:
2[2(-1 + 83x) + 3] + -2(2x + 5) = 2(3x + -3)
2[(-1 * 2 + 83x * 2) + 3] + -2(2x + 5) = 2(3x + -3)
2[(-2 + 166x) + 3] + -2(2x + 5) = 2(3x + -3)

Reorder the terms:
2[-2 + 3 + 166x] + -2(2x + 5) = 2(3x + -3)

Combine like terms: -2 + 3 = 1
2[1 + 166x] + -2(2x + 5) = 2(3x + -3)
[1 * 2 + 166x * 2] + -2(2x + 5) = 2(3x + -3)
[2 + 332x] + -2(2x + 5) = 2(3x + -3)

Reorder the terms:
2 + 332x + -2(5 + 2x) = 2(3x + -3)
2 + 332x + (5 * -2 + 2x * -2) = 2(3x + -3)
2 + 332x + (-10 + -4x) = 2(3x + -3)

Reorder the terms:
2 + -10 + 332x + -4x = 2(3x + -3)

Combine like terms: 2 + -10 = -8
-8 + 332x + -4x = 2(3x + -3)

Combine like terms: 332x + -4x = 328x
-8 + 328x = 2(3x + -3)

Reorder the terms:
-8 + 328x = 2(-3 + 3x)
-8 + 328x = (-3 * 2 + 3x * 2)
-8 + 328x = (-6 + 6x)

Solving
-8 + 328x = -6 + 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.
-8 + 328x + -6x = -6 + 6x + -6x

Combine like terms: 328x + -6x = 322x
-8 + 322x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + 322x = -6 + 0
-8 + 322x = -6

Add '8' to each side of the equation.
-8 + 8 + 322x = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 322x = -6 + 8
322x = -6 + 8

Combine like terms: -6 + 8 = 2
322x = 2

Divide each side by '322'.
x = 0.006211180124

Simplifying
x = 0.006211180124

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