3y-8+5x=3x+10

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Solution for 3y-8+5x=3x+10 equation:


Simplifying
3y + -8 + 5x = 3x + 10

Reorder the terms:
-8 + 5x + 3y = 3x + 10

Reorder the terms:
-8 + 5x + 3y = 10 + 3x

Solving
-8 + 5x + 3y = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 5x + -3x + 3y = 10 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-8 + 2x + 3y = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 2x + 3y = 10 + 0
-8 + 2x + 3y = 10

Add '8' to each side of the equation.
-8 + 2x + 8 + 3y = 10 + 8

Reorder the terms:
-8 + 8 + 2x + 3y = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 2x + 3y = 10 + 8
2x + 3y = 10 + 8

Combine like terms: 10 + 8 = 18
2x + 3y = 18

Add '-3y' to each side of the equation.
2x + 3y + -3y = 18 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 18 + -3y
2x = 18 + -3y

Divide each side by '2'.
x = 9 + -1.5y

Simplifying
x = 9 + -1.5y

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