5(-3x-1)-(6-5x)=9

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Solution for 5(-3x-1)-(6-5x)=9 equation:


Simplifying
5(-3x + -1) + -1(6 + -5x) = 9

Reorder the terms:
5(-1 + -3x) + -1(6 + -5x) = 9
(-1 * 5 + -3x * 5) + -1(6 + -5x) = 9
(-5 + -15x) + -1(6 + -5x) = 9
-5 + -15x + (6 * -1 + -5x * -1) = 9
-5 + -15x + (-6 + 5x) = 9

Reorder the terms:
-5 + -6 + -15x + 5x = 9

Combine like terms: -5 + -6 = -11
-11 + -15x + 5x = 9

Combine like terms: -15x + 5x = -10x
-11 + -10x = 9

Solving
-11 + -10x = 9

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + -10x = 9 + 11

Combine like terms: -11 + 11 = 0
0 + -10x = 9 + 11
-10x = 9 + 11

Combine like terms: 9 + 11 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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