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

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


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

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

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

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

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

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

Solving
20 + -3x = -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 + -3x + -5x = -36 + 5x + -5x

Combine like terms: -3x + -5x = -8x
20 + -8x = -36 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -8x = -36 + 0
20 + -8x = -36

Add '-20' to each side of the equation.
20 + -20 + -8x = -36 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -36 + -20
-8x = -36 + -20

Combine like terms: -36 + -20 = -56
-8x = -56

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

Simplifying
x = 7

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