35-3x=2x-5(1-3x)

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Solution for 35-3x=2x-5(1-3x) equation: 


Simplifying
35 + -3x = 2x + -5(1 + -3x)
35 + -3x = 2x + (1 * -5 + -3x * -5)
35 + -3x = 2x + (-5 + 15x)

Reorder the terms:
35 + -3x = -5 + 2x + 15x

Combine like terms: 2x + 15x = 17x
35 + -3x = -5 + 17x

Solving
35 + -3x = -5 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
35 + -3x + -17x = -5 + 17x + -17x

Combine like terms: -3x + -17x = -20x
35 + -20x = -5 + 17x + -17x

Combine like terms: 17x + -17x = 0
35 + -20x = -5 + 0
35 + -20x = -5

Add '-35' to each side of the equation.
35 + -35 + -20x = -5 + -35

Combine like terms: 35 + -35 = 0
0 + -20x = -5 + -35
-20x = -5 + -35

Combine like terms: -5 + -35 = -40
-20x = -40

Divide each side by '-20'.
x = 2

Simplifying
x = 2

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