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

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


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

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

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

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

Reorder the terms:
-3 + 5x = -5 + 28 + x

Combine like terms: -5 + 28 = 23
-3 + 5x = 23 + x

Solving
-3 + 5x = 23 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 5x + -1x = 23 + x + -1x

Combine like terms: 5x + -1x = 4x
-3 + 4x = 23 + x + -1x

Combine like terms: x + -1x = 0
-3 + 4x = 23 + 0
-3 + 4x = 23

Add '3' to each side of the equation.
-3 + 3 + 4x = 23 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 23 + 3
4x = 23 + 3

Combine like terms: 23 + 3 = 26
4x = 26

Divide each side by '4'.
x = 6.5

Simplifying
x = 6.5

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