(3x-5)=(8x+5)

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Solution for (3x-5)=(8x+5) equation:


Simplifying
(3x + -5) = (8x + 5)

Reorder the terms:
(-5 + 3x) = (8x + 5)

Remove parenthesis around (-5 + 3x)
-5 + 3x = (8x + 5)

Reorder the terms:
-5 + 3x = (5 + 8x)

Remove parenthesis around (5 + 8x)
-5 + 3x = 5 + 8x

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

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

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

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

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

Combine like terms: 5 + 5 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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