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

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


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

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

Remove parenthesis around (-3 + 5x)
-3 + 5x = (2 + -3x)

Remove parenthesis around (2 + -3x)
-3 + 5x = 2 + -3x

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '8'.
x = 0.625

Simplifying
x = 0.625

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