6-5(6x-2)=13(2-2x)

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Solution for 6-5(6x-2)=13(2-2x) equation: 


Simplifying
6 + -5(6x + -2) = 13(2 + -2x)

Reorder the terms:
6 + -5(-2 + 6x) = 13(2 + -2x)
6 + (-2 * -5 + 6x * -5) = 13(2 + -2x)
6 + (10 + -30x) = 13(2 + -2x)

Combine like terms: 6 + 10 = 16
16 + -30x = 13(2 + -2x)
16 + -30x = (2 * 13 + -2x * 13)
16 + -30x = (26 + -26x)

Solving
16 + -30x = 26 + -26x

Solving for variable 'x'.

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

Add '26x' to each side of the equation.
16 + -30x + 26x = 26 + -26x + 26x

Combine like terms: -30x + 26x = -4x
16 + -4x = 26 + -26x + 26x

Combine like terms: -26x + 26x = 0
16 + -4x = 26 + 0
16 + -4x = 26

Add '-16' to each side of the equation.
16 + -16 + -4x = 26 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 26 + -16
-4x = 26 + -16

Combine like terms: 26 + -16 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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