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

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


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

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

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

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

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

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

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

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

Combine like terms: 3 + 8 = 11
-3 + 5x = 11 + 3x + x

Combine like terms: 3x + x = 4x
-3 + 5x = 11 + 4x

Solving
-3 + 5x = 11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 5x + -4x = 11 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-3 + 1x = 11 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 1x = 11 + 0
-3 + 1x = 11

Add '3' to each side of the equation.
-3 + 3 + 1x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 11 + 3
1x = 11 + 3

Combine like terms: 11 + 3 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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