3y+2+5x-6=8x+17

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Solution for 3y+2+5x-6=8x+17 equation:


Simplifying
3y + 2 + 5x + -6 = 8x + 17

Reorder the terms:
2 + -6 + 5x + 3y = 8x + 17

Combine like terms: 2 + -6 = -4
-4 + 5x + 3y = 8x + 17

Reorder the terms:
-4 + 5x + 3y = 17 + 8x

Solving
-4 + 5x + 3y = 17 + 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.
-4 + 5x + -8x + 3y = 17 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-4 + -3x + 3y = 17 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -3x + 3y = 17 + 0
-4 + -3x + 3y = 17

Add '4' to each side of the equation.
-4 + -3x + 4 + 3y = 17 + 4

Reorder the terms:
-4 + 4 + -3x + 3y = 17 + 4

Combine like terms: -4 + 4 = 0
0 + -3x + 3y = 17 + 4
-3x + 3y = 17 + 4

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

Add '-3y' to each side of the equation.
-3x + 3y + -3y = 21 + -3y

Combine like terms: 3y + -3y = 0
-3x + 0 = 21 + -3y
-3x = 21 + -3y

Divide each side by '-3'.
x = -7 + y

Simplifying
x = -7 + y

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