2x-5(x-5)=-9+4x+20

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Solution for 2x-5(x-5)=-9+4x+20 equation: 


Simplifying
2x + -5(x + -5) = -9 + 4x + 20

Reorder the terms:
2x + -5(-5 + x) = -9 + 4x + 20
2x + (-5 * -5 + x * -5) = -9 + 4x + 20
2x + (25 + -5x) = -9 + 4x + 20

Reorder the terms:
25 + 2x + -5x = -9 + 4x + 20

Combine like terms: 2x + -5x = -3x
25 + -3x = -9 + 4x + 20

Reorder the terms:
25 + -3x = -9 + 20 + 4x

Combine like terms: -9 + 20 = 11
25 + -3x = 11 + 4x

Solving
25 + -3x = 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 + -3x + -4x = 11 + 4x + -4x

Combine like terms: -3x + -4x = -7x
25 + -7x = 11 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + -7x = 11 + 0
25 + -7x = 11

Add '-25' to each side of the equation.
25 + -25 + -7x = 11 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = 11 + -25
-7x = 11 + -25

Combine like terms: 11 + -25 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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