2x-5(x-5)=-6+2x+1

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Solution for 2x-5(x-5)=-6+2x+1 equation: 


Simplifying
2x + -5(x + -5) = -6 + 2x + 1

Reorder the terms:
2x + -5(-5 + x) = -6 + 2x + 1
2x + (-5 * -5 + x * -5) = -6 + 2x + 1
2x + (25 + -5x) = -6 + 2x + 1

Reorder the terms:
25 + 2x + -5x = -6 + 2x + 1

Combine like terms: 2x + -5x = -3x
25 + -3x = -6 + 2x + 1

Reorder the terms:
25 + -3x = -6 + 1 + 2x

Combine like terms: -6 + 1 = -5
25 + -3x = -5 + 2x

Solving
25 + -3x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
25 + -3x + -2x = -5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
25 + -5x = -5 + 0
25 + -5x = -5

Add '-25' to each side of the equation.
25 + -25 + -5x = -5 + -25

Combine like terms: 25 + -25 = 0
0 + -5x = -5 + -25
-5x = -5 + -25

Combine like terms: -5 + -25 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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