(x+6)+13=3x+15

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Solution for (x+6)+13=3x+15 equation:


Simplifying
(x + 6) + 13 = 3x + 15

Reorder the terms:
(6 + x) + 13 = 3x + 15

Remove parenthesis around (6 + x)
6 + x + 13 = 3x + 15

Reorder the terms:
6 + 13 + x = 3x + 15

Combine like terms: 6 + 13 = 19
19 + x = 3x + 15

Reorder the terms:
19 + x = 15 + 3x

Solving
19 + x = 15 + 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.
19 + x + -3x = 15 + 3x + -3x

Combine like terms: x + -3x = -2x
19 + -2x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + -2x = 15 + 0
19 + -2x = 15

Add '-19' to each side of the equation.
19 + -19 + -2x = 15 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 15 + -19
-2x = 15 + -19

Combine like terms: 15 + -19 = -4
-2x = -4

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

Simplifying
x = 2

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