2x-5(x-5)=-3+4x-21

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Solution for 2x-5(x-5)=-3+4x-21 equation:


Simplifying
2x + -5(x + -5) = -3 + 4x + -21

Reorder the terms:
2x + -5(-5 + x) = -3 + 4x + -21
2x + (-5 * -5 + x * -5) = -3 + 4x + -21
2x + (25 + -5x) = -3 + 4x + -21

Reorder the terms:
25 + 2x + -5x = -3 + 4x + -21

Combine like terms: 2x + -5x = -3x
25 + -3x = -3 + 4x + -21

Reorder the terms:
25 + -3x = -3 + -21 + 4x

Combine like terms: -3 + -21 = -24
25 + -3x = -24 + 4x

Solving
25 + -3x = -24 + 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 = -24 + 4x + -4x

Combine like terms: -3x + -4x = -7x
25 + -7x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + -7x = -24 + 0
25 + -7x = -24

Add '-25' to each side of the equation.
25 + -25 + -7x = -24 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = -24 + -25
-7x = -24 + -25

Combine like terms: -24 + -25 = -49
-7x = -49

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

Simplifying
x = 7

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