2x-3(4x+5)=-6(x-3)-1

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Solution for 2x-3(4x+5)=-6(x-3)-1 equation:


Simplifying
2x + -3(4x + 5) = -6(x + -3) + -1

Reorder the terms:
2x + -3(5 + 4x) = -6(x + -3) + -1
2x + (5 * -3 + 4x * -3) = -6(x + -3) + -1
2x + (-15 + -12x) = -6(x + -3) + -1

Reorder the terms:
-15 + 2x + -12x = -6(x + -3) + -1

Combine like terms: 2x + -12x = -10x
-15 + -10x = -6(x + -3) + -1

Reorder the terms:
-15 + -10x = -6(-3 + x) + -1
-15 + -10x = (-3 * -6 + x * -6) + -1
-15 + -10x = (18 + -6x) + -1

Reorder the terms:
-15 + -10x = 18 + -1 + -6x

Combine like terms: 18 + -1 = 17
-15 + -10x = 17 + -6x

Solving
-15 + -10x = 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 + -10x + 6x = 17 + -6x + 6x

Combine like terms: -10x + 6x = -4x
-15 + -4x = 17 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + -4x = 17 + 0
-15 + -4x = 17

Add '15' to each side of the equation.
-15 + 15 + -4x = 17 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = 17 + 15
-4x = 17 + 15

Combine like terms: 17 + 15 = 32
-4x = 32

Divide each side by '-4'.
x = -8

Simplifying
x = -8

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