3x-5=5x-(2-3x)

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Solution for 3x-5=5x-(2-3x) equation:


Simplifying
3x + -5 = 5x + -1(2 + -3x)

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

Reorder the terms:
-5 + 3x = -2 + 5x + 3x

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

Solving
-5 + 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.
-5 + 3x + -8x = -2 + 8x + -8x

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

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

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

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

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

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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