2x-5(x-2)=-5+3x-33

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Solution for 2x-5(x-2)=-5+3x-33 equation: 


Simplifying
2x + -5(x + -2) = -5 + 3x + -33

Reorder the terms:
2x + -5(-2 + x) = -5 + 3x + -33
2x + (-2 * -5 + x * -5) = -5 + 3x + -33
2x + (10 + -5x) = -5 + 3x + -33

Reorder the terms:
10 + 2x + -5x = -5 + 3x + -33

Combine like terms: 2x + -5x = -3x
10 + -3x = -5 + 3x + -33

Reorder the terms:
10 + -3x = -5 + -33 + 3x

Combine like terms: -5 + -33 = -38
10 + -3x = -38 + 3x

Solving
10 + -3x = -38 + 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 = -38 + 3x + -3x

Combine like terms: -3x + -3x = -6x
10 + -6x = -38 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -6x = -38 + 0
10 + -6x = -38

Add '-10' to each side of the equation.
10 + -10 + -6x = -38 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -38 + -10
-6x = -38 + -10

Combine like terms: -38 + -10 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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