(3x-8)=(5x-28)

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Solution for (3x-8)=(5x-28) equation:


Simplifying
(3x + -8) = (5x + -28)

Reorder the terms:
(-8 + 3x) = (5x + -28)

Remove parenthesis around (-8 + 3x)
-8 + 3x = (5x + -28)

Reorder the terms:
-8 + 3x = (-28 + 5x)

Remove parenthesis around (-28 + 5x)
-8 + 3x = -28 + 5x

Solving
-8 + 3x = -28 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 3x + -5x = -28 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-8 + -2x = -28 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -2x = -28 + 0
-8 + -2x = -28

Add '8' to each side of the equation.
-8 + 8 + -2x = -28 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -28 + 8
-2x = -28 + 8

Combine like terms: -28 + 8 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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