3x-5(x-5)=-8+2x+21

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Solution for 3x-5(x-5)=-8+2x+21 equation: 


Simplifying
3x + -5(x + -5) = -8 + 2x + 21

Reorder the terms:
3x + -5(-5 + x) = -8 + 2x + 21
3x + (-5 * -5 + x * -5) = -8 + 2x + 21
3x + (25 + -5x) = -8 + 2x + 21

Reorder the terms:
25 + 3x + -5x = -8 + 2x + 21

Combine like terms: 3x + -5x = -2x
25 + -2x = -8 + 2x + 21

Reorder the terms:
25 + -2x = -8 + 21 + 2x

Combine like terms: -8 + 21 = 13
25 + -2x = 13 + 2x

Solving
25 + -2x = 13 + 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 + -2x + -2x = 13 + 2x + -2x

Combine like terms: -2x + -2x = -4x
25 + -4x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -4x = 13 + 0
25 + -4x = 13

Add '-25' to each side of the equation.
25 + -25 + -4x = 13 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = 13 + -25
-4x = 13 + -25

Combine like terms: 13 + -25 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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