2+(-8x-6)=-3(x-3)+5

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Solution for 2+(-8x-6)=-3(x-3)+5 equation:


Simplifying
2 + (-8x + -6) = -3(x + -3) + 5

Reorder the terms:
2 + (-6 + -8x) = -3(x + -3) + 5

Remove parenthesis around (-6 + -8x)
2 + -6 + -8x = -3(x + -3) + 5

Combine like terms: 2 + -6 = -4
-4 + -8x = -3(x + -3) + 5

Reorder the terms:
-4 + -8x = -3(-3 + x) + 5
-4 + -8x = (-3 * -3 + x * -3) + 5
-4 + -8x = (9 + -3x) + 5

Reorder the terms:
-4 + -8x = 9 + 5 + -3x

Combine like terms: 9 + 5 = 14
-4 + -8x = 14 + -3x

Solving
-4 + -8x = 14 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + -8x + 3x = 14 + -3x + 3x

Combine like terms: -8x + 3x = -5x
-4 + -5x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + -5x = 14 + 0
-4 + -5x = 14

Add '4' to each side of the equation.
-4 + 4 + -5x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 14 + 4
-5x = 14 + 4

Combine like terms: 14 + 4 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6

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