5+5(x-6)=6-6(x-3)

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Solution for 5+5(x-6)=6-6(x-3) equation:


Simplifying
5 + 5(x + -6) = 6 + -6(x + -3)

Reorder the terms:
5 + 5(-6 + x) = 6 + -6(x + -3)
5 + (-6 * 5 + x * 5) = 6 + -6(x + -3)
5 + (-30 + 5x) = 6 + -6(x + -3)

Combine like terms: 5 + -30 = -25
-25 + 5x = 6 + -6(x + -3)

Reorder the terms:
-25 + 5x = 6 + -6(-3 + x)
-25 + 5x = 6 + (-3 * -6 + x * -6)
-25 + 5x = 6 + (18 + -6x)

Combine like terms: 6 + 18 = 24
-25 + 5x = 24 + -6x

Solving
-25 + 5x = 24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-25 + 5x + 6x = 24 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-25 + 11x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
-25 + 11x = 24 + 0
-25 + 11x = 24

Add '25' to each side of the equation.
-25 + 25 + 11x = 24 + 25

Combine like terms: -25 + 25 = 0
0 + 11x = 24 + 25
11x = 24 + 25

Combine like terms: 24 + 25 = 49
11x = 49

Divide each side by '11'.
x = 4.454545455

Simplifying
x = 4.454545455

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