(5-2x)+(4x-13)=2

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Solution for (5-2x)+(4x-13)=2 equation:


Simplifying
(5 + -2x) + (4x + -13) = 2

Remove parenthesis around (5 + -2x)
5 + -2x + (4x + -13) = 2

Reorder the terms:
5 + -2x + (-13 + 4x) = 2

Remove parenthesis around (-13 + 4x)
5 + -2x + -13 + 4x = 2

Reorder the terms:
5 + -13 + -2x + 4x = 2

Combine like terms: 5 + -13 = -8
-8 + -2x + 4x = 2

Combine like terms: -2x + 4x = 2x
-8 + 2x = 2

Solving
-8 + 2x = 2

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 2 + 8
2x = 2 + 8

Combine like terms: 2 + 8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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