(4x+55)=(10x-85)

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Solution for (4x+55)=(10x-85) equation:


Simplifying
(4x + 55) = (10x + -85)

Reorder the terms:
(55 + 4x) = (10x + -85)

Remove parenthesis around (55 + 4x)
55 + 4x = (10x + -85)

Reorder the terms:
55 + 4x = (-85 + 10x)

Remove parenthesis around (-85 + 10x)
55 + 4x = -85 + 10x

Solving
55 + 4x = -85 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
55 + 4x + -10x = -85 + 10x + -10x

Combine like terms: 4x + -10x = -6x
55 + -6x = -85 + 10x + -10x

Combine like terms: 10x + -10x = 0
55 + -6x = -85 + 0
55 + -6x = -85

Add '-55' to each side of the equation.
55 + -55 + -6x = -85 + -55

Combine like terms: 55 + -55 = 0
0 + -6x = -85 + -55
-6x = -85 + -55

Combine like terms: -85 + -55 = -140
-6x = -140

Divide each side by '-6'.
x = 23.33333333

Simplifying
x = 23.33333333

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