5(6-7x-8x)+9(8x+2)=27

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Solution for 5(6-7x-8x)+9(8x+2)=27 equation: 


Simplifying
5(6 + -7x + -8x) + 9(8x + 2) = 27

Combine like terms: -7x + -8x = -15x
5(6 + -15x) + 9(8x + 2) = 27
(6 * 5 + -15x * 5) + 9(8x + 2) = 27
(30 + -75x) + 9(8x + 2) = 27

Reorder the terms:
30 + -75x + 9(2 + 8x) = 27
30 + -75x + (2 * 9 + 8x * 9) = 27
30 + -75x + (18 + 72x) = 27

Reorder the terms:
30 + 18 + -75x + 72x = 27

Combine like terms: 30 + 18 = 48
48 + -75x + 72x = 27

Combine like terms: -75x + 72x = -3x
48 + -3x = 27

Solving
48 + -3x = 27

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 + -3x = 27 + -48

Combine like terms: 48 + -48 = 0
0 + -3x = 27 + -48
-3x = 27 + -48

Combine like terms: 27 + -48 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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