-3(4x+5)=-6(x-3)-1

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Solution for -3(4x+5)=-6(x-3)-1 equation: 


Simplifying
-3(4x + 5) = -6(x + -3) + -1

Reorder the terms:
-3(5 + 4x) = -6(x + -3) + -1
(5 * -3 + 4x * -3) = -6(x + -3) + -1
(-15 + -12x) = -6(x + -3) + -1

Reorder the terms:
-15 + -12x = -6(-3 + x) + -1
-15 + -12x = (-3 * -6 + x * -6) + -1
-15 + -12x = (18 + -6x) + -1

Reorder the terms:
-15 + -12x = 18 + -1 + -6x

Combine like terms: 18 + -1 = 17
-15 + -12x = 17 + -6x

Solving
-15 + -12x = 17 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-15 + -12x + 6x = 17 + -6x + 6x

Combine like terms: -12x + 6x = -6x
-15 + -6x = 17 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + -6x = 17 + 0
-15 + -6x = 17

Add '15' to each side of the equation.
-15 + 15 + -6x = 17 + 15

Combine like terms: -15 + 15 = 0
0 + -6x = 17 + 15
-6x = 17 + 15

Combine like terms: 17 + 15 = 32
-6x = 32

Divide each side by '-6'.
x = -5.333333333

Simplifying
x = -5.333333333

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