(x+13)+(8)=3x+5

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Solution for (x+13)+(8)=3x+5 equation:


Simplifying
(x + 13) + (8) = 3x + 5

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

Remove parenthesis around (13 + x)
13 + x + (8) = 3x + 5
13 + x + 8 = 3x + 5

Reorder the terms:
13 + 8 + x = 3x + 5

Combine like terms: 13 + 8 = 21
21 + x = 3x + 5

Reorder the terms:
21 + x = 5 + 3x

Solving
21 + x = 5 + 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.
21 + x + -3x = 5 + 3x + -3x

Combine like terms: x + -3x = -2x
21 + -2x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -2x = 5 + 0
21 + -2x = 5

Add '-21' to each side of the equation.
21 + -21 + -2x = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 5 + -21
-2x = 5 + -21

Combine like terms: 5 + -21 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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