(17x+5)=(21x-7)

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Solution for (17x+5)=(21x-7) equation:


Simplifying
(17x + 5) = (21x + -7)

Reorder the terms:
(5 + 17x) = (21x + -7)

Remove parenthesis around (5 + 17x)
5 + 17x = (21x + -7)

Reorder the terms:
5 + 17x = (-7 + 21x)

Remove parenthesis around (-7 + 21x)
5 + 17x = -7 + 21x

Solving
5 + 17x = -7 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
5 + 17x + -21x = -7 + 21x + -21x

Combine like terms: 17x + -21x = -4x
5 + -4x = -7 + 21x + -21x

Combine like terms: 21x + -21x = 0
5 + -4x = -7 + 0
5 + -4x = -7

Add '-5' to each side of the equation.
5 + -5 + -4x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -7 + -5
-4x = -7 + -5

Combine like terms: -7 + -5 = -12
-4x = -12

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

Simplifying
x = 3

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