55=(40+5x)+(17-4x)

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Solution for 55=(40+5x)+(17-4x) equation:


Simplifying
55 = (40 + 5x) + (17 + -4x)

Remove parenthesis around (40 + 5x)
55 = 40 + 5x + (17 + -4x)

Remove parenthesis around (17 + -4x)
55 = 40 + 5x + 17 + -4x

Reorder the terms:
55 = 40 + 17 + 5x + -4x

Combine like terms: 40 + 17 = 57
55 = 57 + 5x + -4x

Combine like terms: 5x + -4x = 1x
55 = 57 + 1x

Solving
55 = 57 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
55 + -1x = 57 + 1x + -1x

Combine like terms: 1x + -1x = 0
55 + -1x = 57 + 0
55 + -1x = 57

Add '-55' to each side of the equation.
55 + -55 + -1x = 57 + -55

Combine like terms: 55 + -55 = 0
0 + -1x = 57 + -55
-1x = 57 + -55

Combine like terms: 57 + -55 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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