2x-5(x-5)=-4+3x+17

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Solution for 2x-5(x-5)=-4+3x+17 equation: 


Simplifying
2x + -5(x + -5) = -4 + 3x + 17

Reorder the terms:
2x + -5(-5 + x) = -4 + 3x + 17
2x + (-5 * -5 + x * -5) = -4 + 3x + 17
2x + (25 + -5x) = -4 + 3x + 17

Reorder the terms:
25 + 2x + -5x = -4 + 3x + 17

Combine like terms: 2x + -5x = -3x
25 + -3x = -4 + 3x + 17

Reorder the terms:
25 + -3x = -4 + 17 + 3x

Combine like terms: -4 + 17 = 13
25 + -3x = 13 + 3x

Solving
25 + -3x = 13 + 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.
25 + -3x + -3x = 13 + 3x + -3x

Combine like terms: -3x + -3x = -6x
25 + -6x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
25 + -6x = 13 + 0
25 + -6x = 13

Add '-25' to each side of the equation.
25 + -25 + -6x = 13 + -25

Combine like terms: 25 + -25 = 0
0 + -6x = 13 + -25
-6x = 13 + -25

Combine like terms: 13 + -25 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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