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

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


Simplifying
(6x + -8) + -1(3x + 2) = -5

Reorder the terms:
(-8 + 6x) + -1(3x + 2) = -5

Remove parenthesis around (-8 + 6x)
-8 + 6x + -1(3x + 2) = -5

Reorder the terms:
-8 + 6x + -1(2 + 3x) = -5
-8 + 6x + (2 * -1 + 3x * -1) = -5
-8 + 6x + (-2 + -3x) = -5

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

Combine like terms: -8 + -2 = -10
-10 + 6x + -3x = -5

Combine like terms: 6x + -3x = 3x
-10 + 3x = -5

Solving
-10 + 3x = -5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 3x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -5 + 10
3x = -5 + 10

Combine like terms: -5 + 10 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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