(x+13)=(3x+9)+(5x+8)

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Solution for (x+13)=(3x+9)+(5x+8) equation:


Simplifying
(x + 13) = (3x + 9) + (5x + 8)

Reorder the terms:
(13 + x) = (3x + 9) + (5x + 8)

Remove parenthesis around (13 + x)
13 + x = (3x + 9) + (5x + 8)

Reorder the terms:
13 + x = (9 + 3x) + (5x + 8)

Remove parenthesis around (9 + 3x)
13 + x = 9 + 3x + (5x + 8)

Reorder the terms:
13 + x = 9 + 3x + (8 + 5x)

Remove parenthesis around (8 + 5x)
13 + x = 9 + 3x + 8 + 5x

Reorder the terms:
13 + x = 9 + 8 + 3x + 5x

Combine like terms: 9 + 8 = 17
13 + x = 17 + 3x + 5x

Combine like terms: 3x + 5x = 8x
13 + x = 17 + 8x

Solving
13 + x = 17 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
13 + x + -8x = 17 + 8x + -8x

Combine like terms: x + -8x = -7x
13 + -7x = 17 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + -7x = 17 + 0
13 + -7x = 17

Add '-13' to each side of the equation.
13 + -13 + -7x = 17 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = 17 + -13
-7x = 17 + -13

Combine like terms: 17 + -13 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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