9x+25-5x-3=13x-17-3x+21

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Solution for 9x+25-5x-3=13x-17-3x+21 equation:


Simplifying
9x + 25 + -5x + -3 = 13x + -17 + -3x + 21

Reorder the terms:
25 + -3 + 9x + -5x = 13x + -17 + -3x + 21

Combine like terms: 25 + -3 = 22
22 + 9x + -5x = 13x + -17 + -3x + 21

Combine like terms: 9x + -5x = 4x
22 + 4x = 13x + -17 + -3x + 21

Reorder the terms:
22 + 4x = -17 + 21 + 13x + -3x

Combine like terms: -17 + 21 = 4
22 + 4x = 4 + 13x + -3x

Combine like terms: 13x + -3x = 10x
22 + 4x = 4 + 10x

Solving
22 + 4x = 4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
22 + 4x + -10x = 4 + 10x + -10x

Combine like terms: 4x + -10x = -6x
22 + -6x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
22 + -6x = 4 + 0
22 + -6x = 4

Add '-22' to each side of the equation.
22 + -22 + -6x = 4 + -22

Combine like terms: 22 + -22 = 0
0 + -6x = 4 + -22
-6x = 4 + -22

Combine like terms: 4 + -22 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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