2x-4(x-5)=-3+5x-33

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Solution for 2x-4(x-5)=-3+5x-33 equation: 


Simplifying
2x + -4(x + -5) = -3 + 5x + -33

Reorder the terms:
2x + -4(-5 + x) = -3 + 5x + -33
2x + (-5 * -4 + x * -4) = -3 + 5x + -33
2x + (20 + -4x) = -3 + 5x + -33

Reorder the terms:
20 + 2x + -4x = -3 + 5x + -33

Combine like terms: 2x + -4x = -2x
20 + -2x = -3 + 5x + -33

Reorder the terms:
20 + -2x = -3 + -33 + 5x

Combine like terms: -3 + -33 = -36
20 + -2x = -36 + 5x

Solving
20 + -2x = -36 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + -2x + -5x = -36 + 5x + -5x

Combine like terms: -2x + -5x = -7x
20 + -7x = -36 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -7x = -36 + 0
20 + -7x = -36

Add '-20' to each side of the equation.
20 + -20 + -7x = -36 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -36 + -20
-7x = -36 + -20

Combine like terms: -36 + -20 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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