2x-5(x-2)=-6+3x-20

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Solution for 2x-5(x-2)=-6+3x-20 equation: 


Simplifying
2x + -5(x + -2) = -6 + 3x + -20

Reorder the terms:
2x + -5(-2 + x) = -6 + 3x + -20
2x + (-2 * -5 + x * -5) = -6 + 3x + -20
2x + (10 + -5x) = -6 + 3x + -20

Reorder the terms:
10 + 2x + -5x = -6 + 3x + -20

Combine like terms: 2x + -5x = -3x
10 + -3x = -6 + 3x + -20

Reorder the terms:
10 + -3x = -6 + -20 + 3x

Combine like terms: -6 + -20 = -26
10 + -3x = -26 + 3x

Solving
10 + -3x = -26 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -3x + -3x = -26 + 3x + -3x

Combine like terms: -3x + -3x = -6x
10 + -6x = -26 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -6x = -26 + 0
10 + -6x = -26

Add '-10' to each side of the equation.
10 + -10 + -6x = -26 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -26 + -10
-6x = -26 + -10

Combine like terms: -26 + -10 = -36
-6x = -36

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

Simplifying
x = 6

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