6x+54-3x+33=5x+5-10x

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Solution for 6x+54-3x+33=5x+5-10x equation:


Simplifying
6x + 54 + -3x + 33 = 5x + 5 + -10x

Reorder the terms:
54 + 33 + 6x + -3x = 5x + 5 + -10x

Combine like terms: 54 + 33 = 87
87 + 6x + -3x = 5x + 5 + -10x

Combine like terms: 6x + -3x = 3x
87 + 3x = 5x + 5 + -10x

Reorder the terms:
87 + 3x = 5 + 5x + -10x

Combine like terms: 5x + -10x = -5x
87 + 3x = 5 + -5x

Solving
87 + 3x = 5 + -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.
87 + 3x + 5x = 5 + -5x + 5x

Combine like terms: 3x + 5x = 8x
87 + 8x = 5 + -5x + 5x

Combine like terms: -5x + 5x = 0
87 + 8x = 5 + 0
87 + 8x = 5

Add '-87' to each side of the equation.
87 + -87 + 8x = 5 + -87

Combine like terms: 87 + -87 = 0
0 + 8x = 5 + -87
8x = 5 + -87

Combine like terms: 5 + -87 = -82
8x = -82

Divide each side by '8'.
x = -10.25

Simplifying
x = -10.25

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