-15=-3(4x-5)-6

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Solution for -15=-3(4x-5)-6 equation:


Simplifying
-15 = -3(4x + -5) + -6

Reorder the terms:
-15 = -3(-5 + 4x) + -6
-15 = (-5 * -3 + 4x * -3) + -6
-15 = (15 + -12x) + -6

Reorder the terms:
-15 = 15 + -6 + -12x

Combine like terms: 15 + -6 = 9
-15 = 9 + -12x

Solving
-15 = 9 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-15 + 12x = 9 + -12x + 12x

Combine like terms: -12x + 12x = 0
-15 + 12x = 9 + 0
-15 + 12x = 9

Add '15' to each side of the equation.
-15 + 15 + 12x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 12x = 9 + 15
12x = 9 + 15

Combine like terms: 9 + 15 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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