-5(7-4x)-9(3x-8)=16

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Solution for -5(7-4x)-9(3x-8)=16 equation: 


Simplifying
-5(7 + -4x) + -9(3x + -8) = 16
(7 * -5 + -4x * -5) + -9(3x + -8) = 16
(-35 + 20x) + -9(3x + -8) = 16

Reorder the terms:
-35 + 20x + -9(-8 + 3x) = 16
-35 + 20x + (-8 * -9 + 3x * -9) = 16
-35 + 20x + (72 + -27x) = 16

Reorder the terms:
-35 + 72 + 20x + -27x = 16

Combine like terms: -35 + 72 = 37
37 + 20x + -27x = 16

Combine like terms: 20x + -27x = -7x
37 + -7x = 16

Solving
37 + -7x = 16

Solving for variable 'x'.

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

Add '-37' to each side of the equation.
37 + -37 + -7x = 16 + -37

Combine like terms: 37 + -37 = 0
0 + -7x = 16 + -37
-7x = 16 + -37

Combine like terms: 16 + -37 = -21
-7x = -21

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

Simplifying
x = 3

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