30-6(x-3)=9(x-5)

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Solution for 30-6(x-3)=9(x-5) equation: 


Simplifying
30 + -6(x + -3) = 9(x + -5)

Reorder the terms:
30 + -6(-3 + x) = 9(x + -5)
30 + (-3 * -6 + x * -6) = 9(x + -5)
30 + (18 + -6x) = 9(x + -5)

Combine like terms: 30 + 18 = 48
48 + -6x = 9(x + -5)

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

Solving
48 + -6x = -45 + 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 = -45 + 9x + -9x

Combine like terms: -6x + -9x = -15x
48 + -15x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
48 + -15x = -45 + 0
48 + -15x = -45

Add '-48' to each side of the equation.
48 + -48 + -15x = -45 + -48

Combine like terms: 48 + -48 = 0
0 + -15x = -45 + -48
-15x = -45 + -48

Combine like terms: -45 + -48 = -93
-15x = -93

Divide each side by '-15'.
x = 6.2

Simplifying
x = 6.2

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