3x+17=8x-16

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Solution for 3x+17=8x-16 equation:


Simplifying
3x + 17 = 8x + -16

Reorder the terms:
17 + 3x = 8x + -16

Reorder the terms:
17 + 3x = -16 + 8x

Solving
17 + 3x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
17 + 3x + -8x = -16 + 8x + -8x

Combine like terms: 3x + -8x = -5x
17 + -5x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
17 + -5x = -16 + 0
17 + -5x = -16

Add '-17' to each side of the equation.
17 + -17 + -5x = -16 + -17

Combine like terms: 17 + -17 = 0
0 + -5x = -16 + -17
-5x = -16 + -17

Combine like terms: -16 + -17 = -33
-5x = -33

Divide each side by '-5'.
x = 6.6

Simplifying
x = 6.6

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