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

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


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

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

Combine like terms: 2 + 3 = 5
5 + -3x = 8 + -2(1x + -3)

Reorder the terms:
5 + -3x = 8 + -2(-3 + 1x)
5 + -3x = 8 + (-3 * -2 + 1x * -2)
5 + -3x = 8 + (6 + -2x)

Combine like terms: 8 + 6 = 14
5 + -3x = 14 + -2x

Solving
5 + -3x = 14 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
5 + -3x + 2x = 14 + -2x + 2x

Combine like terms: -3x + 2x = -1x
5 + -1x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + -1x = 14 + 0
5 + -1x = 14

Add '-5' to each side of the equation.
5 + -5 + -1x = 14 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 14 + -5
-1x = 14 + -5

Combine like terms: 14 + -5 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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