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

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


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

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

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

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

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

Solving
6 + -6x = -6

Solving for variable 'x'.

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

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

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

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

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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