78=(3x+8)+16+25+(2x-1)

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Solution for 78=(3x+8)+16+25+(2x-1) equation:


Simplifying
78 = (3x + 8) + 16 + 25 + (2x + -1)

Reorder the terms:
78 = (8 + 3x) + 16 + 25 + (2x + -1)

Remove parenthesis around (8 + 3x)
78 = 8 + 3x + 16 + 25 + (2x + -1)

Reorder the terms:
78 = 8 + 3x + 16 + 25 + (-1 + 2x)

Remove parenthesis around (-1 + 2x)
78 = 8 + 3x + 16 + 25 + -1 + 2x

Reorder the terms:
78 = 8 + 16 + 25 + -1 + 3x + 2x

Combine like terms: 8 + 16 = 24
78 = 24 + 25 + -1 + 3x + 2x

Combine like terms: 24 + 25 = 49
78 = 49 + -1 + 3x + 2x

Combine like terms: 49 + -1 = 48
78 = 48 + 3x + 2x

Combine like terms: 3x + 2x = 5x
78 = 48 + 5x

Solving
78 = 48 + 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.
78 + -5x = 48 + 5x + -5x

Combine like terms: 5x + -5x = 0
78 + -5x = 48 + 0
78 + -5x = 48

Add '-78' to each side of the equation.
78 + -78 + -5x = 48 + -78

Combine like terms: 78 + -78 = 0
0 + -5x = 48 + -78
-5x = 48 + -78

Combine like terms: 48 + -78 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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