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

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


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

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

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

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

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

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

Solving
25 + -3x = 3 + 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 = 3 + 3x + -3x

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

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

Add '-25' to each side of the equation.
25 + -25 + -6x = 3 + -25

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

Combine like terms: 3 + -25 = -22
-6x = -22

Divide each side by '-6'.
x = 3.666666667

Simplifying
x = 3.666666667

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