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

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


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

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

Combine like terms: 10 + 3 = 13
13 + 5x + 5y = 8x + 3y

Solving
13 + 5x + 5y = 8x + 3y

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.
13 + 5x + -8x + 5y = 8x + -8x + 3y

Combine like terms: 5x + -8x = -3x
13 + -3x + 5y = 8x + -8x + 3y

Combine like terms: 8x + -8x = 0
13 + -3x + 5y = 0 + 3y
13 + -3x + 5y = 3y

Add '-13' to each side of the equation.
13 + -3x + -13 + 5y = -13 + 3y

Reorder the terms:
13 + -13 + -3x + 5y = -13 + 3y

Combine like terms: 13 + -13 = 0
0 + -3x + 5y = -13 + 3y
-3x + 5y = -13 + 3y

Add '-5y' to each side of the equation.
-3x + 5y + -5y = -13 + 3y + -5y

Combine like terms: 5y + -5y = 0
-3x + 0 = -13 + 3y + -5y
-3x = -13 + 3y + -5y

Combine like terms: 3y + -5y = -2y
-3x = -13 + -2y

Divide each side by '-3'.
x = 4.333333333 + 0.6666666667y

Simplifying
x = 4.333333333 + 0.6666666667y

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