17(x-3)+4x=7(3x+3)-8

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Solution for 17(x-3)+4x=7(3x+3)-8 equation: 


Simplifying
17(x + -3) + 4x = 7(3x + 3) + -8

Reorder the terms:
17(-3 + x) + 4x = 7(3x + 3) + -8
(-3 * 17 + x * 17) + 4x = 7(3x + 3) + -8
(-51 + 17x) + 4x = 7(3x + 3) + -8

Combine like terms: 17x + 4x = 21x
-51 + 21x = 7(3x + 3) + -8

Reorder the terms:
-51 + 21x = 7(3 + 3x) + -8
-51 + 21x = (3 * 7 + 3x * 7) + -8
-51 + 21x = (21 + 21x) + -8

Reorder the terms:
-51 + 21x = 21 + -8 + 21x

Combine like terms: 21 + -8 = 13
-51 + 21x = 13 + 21x

Add '-21x' to each side of the equation.
-51 + 21x + -21x = 13 + 21x + -21x

Combine like terms: 21x + -21x = 0
-51 + 0 = 13 + 21x + -21x
-51 = 13 + 21x + -21x

Combine like terms: 21x + -21x = 0
-51 = 13 + 0
-51 = 13

Solving
-51 = 13

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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