77=(3x+22)+(5x-17)

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Solution for 77=(3x+22)+(5x-17) equation:


Simplifying
77 = (3x + 22) + (5x + -17)

Reorder the terms:
77 = (22 + 3x) + (5x + -17)

Remove parenthesis around (22 + 3x)
77 = 22 + 3x + (5x + -17)

Reorder the terms:
77 = 22 + 3x + (-17 + 5x)

Remove parenthesis around (-17 + 5x)
77 = 22 + 3x + -17 + 5x

Reorder the terms:
77 = 22 + -17 + 3x + 5x

Combine like terms: 22 + -17 = 5
77 = 5 + 3x + 5x

Combine like terms: 3x + 5x = 8x
77 = 5 + 8x

Solving
77 = 5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
77 + -8x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
77 + -8x = 5 + 0
77 + -8x = 5

Add '-77' to each side of the equation.
77 + -77 + -8x = 5 + -77

Combine like terms: 77 + -77 = 0
0 + -8x = 5 + -77
-8x = 5 + -77

Combine like terms: 5 + -77 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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