6(x+8)=24+3(y-5)

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Solution for 6(x+8)=24+3(y-5) equation: 


Simplifying
6(x + 8) = 24 + 3(y + -5)

Reorder the terms:
6(8 + x) = 24 + 3(y + -5)
(8 * 6 + x * 6) = 24 + 3(y + -5)
(48 + 6x) = 24 + 3(y + -5)

Reorder the terms:
48 + 6x = 24 + 3(-5 + y)
48 + 6x = 24 + (-5 * 3 + y * 3)
48 + 6x = 24 + (-15 + 3y)

Combine like terms: 24 + -15 = 9
48 + 6x = 9 + 3y

Solving
48 + 6x = 9 + 3y

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 6x = 9 + -48 + 3y

Combine like terms: 48 + -48 = 0
0 + 6x = 9 + -48 + 3y
6x = 9 + -48 + 3y

Combine like terms: 9 + -48 = -39
6x = -39 + 3y

Divide each side by '6'.
x = -6.5 + 0.5y

Simplifying
x = -6.5 + 0.5y

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