3x+20+2x-1=50-3x+33

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Solution for 3x+20+2x-1=50-3x+33 equation:


Simplifying
3x + 20 + 2x + -1 = 50 + -3x + 33

Reorder the terms:
20 + -1 + 3x + 2x = 50 + -3x + 33

Combine like terms: 20 + -1 = 19
19 + 3x + 2x = 50 + -3x + 33

Combine like terms: 3x + 2x = 5x
19 + 5x = 50 + -3x + 33

Reorder the terms:
19 + 5x = 50 + 33 + -3x

Combine like terms: 50 + 33 = 83
19 + 5x = 83 + -3x

Solving
19 + 5x = 83 + -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.
19 + 5x + 3x = 83 + -3x + 3x

Combine like terms: 5x + 3x = 8x
19 + 8x = 83 + -3x + 3x

Combine like terms: -3x + 3x = 0
19 + 8x = 83 + 0
19 + 8x = 83

Add '-19' to each side of the equation.
19 + -19 + 8x = 83 + -19

Combine like terms: 19 + -19 = 0
0 + 8x = 83 + -19
8x = 83 + -19

Combine like terms: 83 + -19 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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