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

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


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

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

Reorder the terms:
6 + 5x + -3x = -6 + 4x + -2

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

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

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

Solving
6 + 2x = -8 + 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.
6 + 2x + -4x = -8 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
6 + -2x = -8 + 0
6 + -2x = -8

Add '-6' to each side of the equation.
6 + -6 + -2x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -8 + -6
-2x = -8 + -6

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

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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