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

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


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

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

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

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

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

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

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

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

Solving
x = -5 + 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.
x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-3x = -5 + 0
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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