3x-5(x-5)=-2+5x-22

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Solution for 3x-5(x-5)=-2+5x-22 equation: 


Simplifying
3x + -5(x + -5) = -2 + 5x + -22

Reorder the terms:
3x + -5(-5 + x) = -2 + 5x + -22
3x + (-5 * -5 + x * -5) = -2 + 5x + -22
3x + (25 + -5x) = -2 + 5x + -22

Reorder the terms:
25 + 3x + -5x = -2 + 5x + -22

Combine like terms: 3x + -5x = -2x
25 + -2x = -2 + 5x + -22

Reorder the terms:
25 + -2x = -2 + -22 + 5x

Combine like terms: -2 + -22 = -24
25 + -2x = -24 + 5x

Solving
25 + -2x = -24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
25 + -2x + -5x = -24 + 5x + -5x

Combine like terms: -2x + -5x = -7x
25 + -7x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 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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