-3(x+5)+9(2x-6)=-14x

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Solution for -3(x+5)+9(2x-6)=-14x equation:


Simplifying
-3(x + 5) + 9(2x + -6) = -14x

Reorder the terms:
-3(5 + x) + 9(2x + -6) = -14x
(5 * -3 + x * -3) + 9(2x + -6) = -14x
(-15 + -3x) + 9(2x + -6) = -14x

Reorder the terms:
-15 + -3x + 9(-6 + 2x) = -14x
-15 + -3x + (-6 * 9 + 2x * 9) = -14x
-15 + -3x + (-54 + 18x) = -14x

Reorder the terms:
-15 + -54 + -3x + 18x = -14x

Combine like terms: -15 + -54 = -69
-69 + -3x + 18x = -14x

Combine like terms: -3x + 18x = 15x
-69 + 15x = -14x

Solving
-69 + 15x = -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-69 + 15x + 14x = -14x + 14x

Combine like terms: 15x + 14x = 29x
-69 + 29x = -14x + 14x

Combine like terms: -14x + 14x = 0
-69 + 29x = 0

Add '69' to each side of the equation.
-69 + 69 + 29x = 0 + 69

Combine like terms: -69 + 69 = 0
0 + 29x = 0 + 69
29x = 0 + 69

Combine like terms: 0 + 69 = 69
29x = 69

Divide each side by '29'.
x = 2.379310345

Simplifying
x = 2.379310345

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