27+9(x-5)=6(x+8)

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Solution for 27+9(x-5)=6(x+8) equation:


Simplifying
27 + 9(x + -5) = 6(x + 8)

Reorder the terms:
27 + 9(-5 + x) = 6(x + 8)
27 + (-5 * 9 + x * 9) = 6(x + 8)
27 + (-45 + 9x) = 6(x + 8)

Combine like terms: 27 + -45 = -18
-18 + 9x = 6(x + 8)

Reorder the terms:
-18 + 9x = 6(8 + x)
-18 + 9x = (8 * 6 + x * 6)
-18 + 9x = (48 + 6x)

Solving
-18 + 9x = 48 + 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.
-18 + 9x + -6x = 48 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-18 + 3x = 48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + 3x = 48 + 0
-18 + 3x = 48

Add '18' to each side of the equation.
-18 + 18 + 3x = 48 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = 48 + 18
3x = 48 + 18

Combine like terms: 48 + 18 = 66
3x = 66

Divide each side by '3'.
x = 22

Simplifying
x = 22

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