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

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


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

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

Reorder the terms:
10 + 3x + -5x = -6 + 2x + 8

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

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

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

Solving
10 + -2x = 2 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
10 + -4x = 2 + 0
10 + -4x = 2

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

Combine like terms: 10 + -10 = 0
0 + -4x = 2 + -10
-4x = 2 + -10

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

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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