6+6(x-9)=5-9(x-5)

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Solution for 6+6(x-9)=5-9(x-5) equation: 


Simplifying
6 + 6(x + -9) = 5 + -9(x + -5)

Reorder the terms:
6 + 6(-9 + x) = 5 + -9(x + -5)
6 + (-9 * 6 + x * 6) = 5 + -9(x + -5)
6 + (-54 + 6x) = 5 + -9(x + -5)

Combine like terms: 6 + -54 = -48
-48 + 6x = 5 + -9(x + -5)

Reorder the terms:
-48 + 6x = 5 + -9(-5 + x)
-48 + 6x = 5 + (-5 * -9 + x * -9)
-48 + 6x = 5 + (45 + -9x)

Combine like terms: 5 + 45 = 50
-48 + 6x = 50 + -9x

Solving
-48 + 6x = 50 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-48 + 6x + 9x = 50 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-48 + 15x = 50 + -9x + 9x

Combine like terms: -9x + 9x = 0
-48 + 15x = 50 + 0
-48 + 15x = 50

Add '48' to each side of the equation.
-48 + 48 + 15x = 50 + 48

Combine like terms: -48 + 48 = 0
0 + 15x = 50 + 48
15x = 50 + 48

Combine like terms: 50 + 48 = 98
15x = 98

Divide each side by '15'.
x = 6.533333333

Simplifying
x = 6.533333333

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