2-(3x-1)=3-(8x+1)

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Solution for 2-(3x-1)=3-(8x+1) equation:


Simplifying
2 + -1(3x + -1) = 3 + -1(8x + 1)

Reorder the terms:
2 + -1(-1 + 3x) = 3 + -1(8x + 1)
2 + (-1 * -1 + 3x * -1) = 3 + -1(8x + 1)
2 + (1 + -3x) = 3 + -1(8x + 1)

Combine like terms: 2 + 1 = 3
3 + -3x = 3 + -1(8x + 1)

Reorder the terms:
3 + -3x = 3 + -1(1 + 8x)
3 + -3x = 3 + (1 * -1 + 8x * -1)
3 + -3x = 3 + (-1 + -8x)

Combine like terms: 3 + -1 = 2
3 + -3x = 2 + -8x

Solving
3 + -3x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3 + -3x + 8x = 2 + -8x + 8x

Combine like terms: -3x + 8x = 5x
3 + 5x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 5x = 2 + 0
3 + 5x = 2

Add '-3' to each side of the equation.
3 + -3 + 5x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 2 + -3
5x = 2 + -3

Combine like terms: 2 + -3 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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