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

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


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

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

Reorder the terms:
-5 + 2x = 5 + -2(-13 + 2x)
-5 + 2x = 5 + (-13 * -2 + 2x * -2)
-5 + 2x = 5 + (26 + -4x)

Combine like terms: 5 + 26 = 31
-5 + 2x = 31 + -4x

Solving
-5 + 2x = 31 + -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.
-5 + 2x + 4x = 31 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-5 + 6x = 31 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 6x = 31 + 0
-5 + 6x = 31

Add '5' to each side of the equation.
-5 + 5 + 6x = 31 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 31 + 5
6x = 31 + 5

Combine like terms: 31 + 5 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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