5(x+3)-9(2x-6)=16

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Solution for 5(x+3)-9(2x-6)=16 equation: 


Simplifying
5(x + 3) + -9(2x + -6) = 16

Reorder the terms:
5(3 + x) + -9(2x + -6) = 16
(3 * 5 + x * 5) + -9(2x + -6) = 16
(15 + 5x) + -9(2x + -6) = 16

Reorder the terms:
15 + 5x + -9(-6 + 2x) = 16
15 + 5x + (-6 * -9 + 2x * -9) = 16
15 + 5x + (54 + -18x) = 16

Reorder the terms:
15 + 54 + 5x + -18x = 16

Combine like terms: 15 + 54 = 69
69 + 5x + -18x = 16

Combine like terms: 5x + -18x = -13x
69 + -13x = 16

Solving
69 + -13x = 16

Solving for variable 'x'.

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

Add '-69' to each side of the equation.
69 + -69 + -13x = 16 + -69

Combine like terms: 69 + -69 = 0
0 + -13x = 16 + -69
-13x = 16 + -69

Combine like terms: 16 + -69 = -53
-13x = -53

Divide each side by '-13'.
x = 4.076923077

Simplifying
x = 4.076923077

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