2x+(5x-2)=13x

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Solution for 2x+(5x-2)=13x equation:


Simplifying
2x + (5x + -2) = 13x

Reorder the terms:
2x + (-2 + 5x) = 13x

Remove parenthesis around (-2 + 5x)
2x + -2 + 5x = 13x

Reorder the terms:
-2 + 2x + 5x = 13x

Combine like terms: 2x + 5x = 7x
-2 + 7x = 13x

Solving
-2 + 7x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-2 + 7x + -13x = 13x + -13x

Combine like terms: 7x + -13x = -6x
-2 + -6x = 13x + -13x

Combine like terms: 13x + -13x = 0
-2 + -6x = 0

Add '2' to each side of the equation.
-2 + 2 + -6x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = 0 + 2
-6x = 0 + 2

Combine like terms: 0 + 2 = 2
-6x = 2

Divide each side by '-6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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