3x-5(x-5)=-6+4x-5

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Solution for 3x-5(x-5)=-6+4x-5 equation: 


Simplifying
3x + -5(x + -5) = -6 + 4x + -5

Reorder the terms:
3x + -5(-5 + x) = -6 + 4x + -5
3x + (-5 * -5 + x * -5) = -6 + 4x + -5
3x + (25 + -5x) = -6 + 4x + -5

Reorder the terms:
25 + 3x + -5x = -6 + 4x + -5

Combine like terms: 3x + -5x = -2x
25 + -2x = -6 + 4x + -5

Reorder the terms:
25 + -2x = -6 + -5 + 4x

Combine like terms: -6 + -5 = -11
25 + -2x = -11 + 4x

Solving
25 + -2x = -11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
25 + -2x + -4x = -11 + 4x + -4x

Combine like terms: -2x + -4x = -6x
25 + -6x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + -6x = -11 + 0
25 + -6x = -11

Add '-25' to each side of the equation.
25 + -25 + -6x = -11 + -25

Combine like terms: 25 + -25 = 0
0 + -6x = -11 + -25
-6x = -11 + -25

Combine like terms: -11 + -25 = -36
-6x = -36

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

Simplifying
x = 6

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