3x-5(x-2)=-6+4x-8

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Solution for 3x-5(x-2)=-6+4x-8 equation: 


Simplifying
3x + -5(x + -2) = -6 + 4x + -8

Reorder the terms:
3x + -5(-2 + x) = -6 + 4x + -8
3x + (-2 * -5 + x * -5) = -6 + 4x + -8
3x + (10 + -5x) = -6 + 4x + -8

Reorder the terms:
10 + 3x + -5x = -6 + 4x + -8

Combine like terms: 3x + -5x = -2x
10 + -2x = -6 + 4x + -8

Reorder the terms:
10 + -2x = -6 + -8 + 4x

Combine like terms: -6 + -8 = -14
10 + -2x = -14 + 4x

Solving
10 + -2x = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -2x + -4x = -14 + 4x + -4x

Combine like terms: -2x + -4x = -6x
10 + -6x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -6x = -14 + 0
10 + -6x = -14

Add '-10' to each side of the equation.
10 + -10 + -6x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -14 + -10
-6x = -14 + -10

Combine like terms: -14 + -10 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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