85=(2x+10)+(4x-15)

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Solution for 85=(2x+10)+(4x-15) equation:


Simplifying
85 = (2x + 10) + (4x + -15)

Reorder the terms:
85 = (10 + 2x) + (4x + -15)

Remove parenthesis around (10 + 2x)
85 = 10 + 2x + (4x + -15)

Reorder the terms:
85 = 10 + 2x + (-15 + 4x)

Remove parenthesis around (-15 + 4x)
85 = 10 + 2x + -15 + 4x

Reorder the terms:
85 = 10 + -15 + 2x + 4x

Combine like terms: 10 + -15 = -5
85 = -5 + 2x + 4x

Combine like terms: 2x + 4x = 6x
85 = -5 + 6x

Solving
85 = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
85 + -6x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
85 + -6x = -5 + 0
85 + -6x = -5

Add '-85' to each side of the equation.
85 + -85 + -6x = -5 + -85

Combine like terms: 85 + -85 = 0
0 + -6x = -5 + -85
-6x = -5 + -85

Combine like terms: -5 + -85 = -90
-6x = -90

Divide each side by '-6'.
x = 15

Simplifying
x = 15

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