(x+35)=(x-15)+(2x-70)

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Solution for (x+35)=(x-15)+(2x-70) equation:


Simplifying
(x + 35) = (x + -15) + (2x + -70)

Reorder the terms:
(35 + x) = (x + -15) + (2x + -70)

Remove parenthesis around (35 + x)
35 + x = (x + -15) + (2x + -70)

Reorder the terms:
35 + x = (-15 + x) + (2x + -70)

Remove parenthesis around (-15 + x)
35 + x = -15 + x + (2x + -70)

Reorder the terms:
35 + x = -15 + x + (-70 + 2x)

Remove parenthesis around (-70 + 2x)
35 + x = -15 + x + -70 + 2x

Reorder the terms:
35 + x = -15 + -70 + x + 2x

Combine like terms: -15 + -70 = -85
35 + x = -85 + x + 2x

Combine like terms: x + 2x = 3x
35 + x = -85 + 3x

Solving
35 + x = -85 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
35 + x + -3x = -85 + 3x + -3x

Combine like terms: x + -3x = -2x
35 + -2x = -85 + 3x + -3x

Combine like terms: 3x + -3x = 0
35 + -2x = -85 + 0
35 + -2x = -85

Add '-35' to each side of the equation.
35 + -35 + -2x = -85 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = -85 + -35
-2x = -85 + -35

Combine like terms: -85 + -35 = -120
-2x = -120

Divide each side by '-2'.
x = 60

Simplifying
x = 60

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