(17x-23)=(8x-4)+(3x+17)

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Solution for (17x-23)=(8x-4)+(3x+17) equation:


Simplifying
(17x + -23) = (8x + -4) + (3x + 17)

Reorder the terms:
(-23 + 17x) = (8x + -4) + (3x + 17)

Remove parenthesis around (-23 + 17x)
-23 + 17x = (8x + -4) + (3x + 17)

Reorder the terms:
-23 + 17x = (-4 + 8x) + (3x + 17)

Remove parenthesis around (-4 + 8x)
-23 + 17x = -4 + 8x + (3x + 17)

Reorder the terms:
-23 + 17x = -4 + 8x + (17 + 3x)

Remove parenthesis around (17 + 3x)
-23 + 17x = -4 + 8x + 17 + 3x

Reorder the terms:
-23 + 17x = -4 + 17 + 8x + 3x

Combine like terms: -4 + 17 = 13
-23 + 17x = 13 + 8x + 3x

Combine like terms: 8x + 3x = 11x
-23 + 17x = 13 + 11x

Solving
-23 + 17x = 13 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-23 + 17x + -11x = 13 + 11x + -11x

Combine like terms: 17x + -11x = 6x
-23 + 6x = 13 + 11x + -11x

Combine like terms: 11x + -11x = 0
-23 + 6x = 13 + 0
-23 + 6x = 13

Add '23' to each side of the equation.
-23 + 23 + 6x = 13 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = 13 + 23
6x = 13 + 23

Combine like terms: 13 + 23 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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