2(3x+5y)+10=3x+(5y+10)

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Solution for 2(3x+5y)+10=3x+(5y+10) equation:


Simplifying
2(3x + 5y) + 10 = 3x + (5y + 10)
(3x * 2 + 5y * 2) + 10 = 3x + (5y + 10)
(6x + 10y) + 10 = 3x + (5y + 10)

Reorder the terms:
10 + 6x + 10y = 3x + (5y + 10)

Reorder the terms:
10 + 6x + 10y = 3x + (10 + 5y)

Remove parenthesis around (10 + 5y)
10 + 6x + 10y = 3x + 10 + 5y

Reorder the terms:
10 + 6x + 10y = 10 + 3x + 5y

Add '-10' to each side of the equation.
10 + 6x + -10 + 10y = 10 + 3x + -10 + 5y

Reorder the terms:
10 + -10 + 6x + 10y = 10 + 3x + -10 + 5y

Combine like terms: 10 + -10 = 0
0 + 6x + 10y = 10 + 3x + -10 + 5y
6x + 10y = 10 + 3x + -10 + 5y

Reorder the terms:
6x + 10y = 10 + -10 + 3x + 5y

Combine like terms: 10 + -10 = 0
6x + 10y = 0 + 3x + 5y
6x + 10y = 3x + 5y

Solving
6x + 10y = 3x + 5y

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.
6x + -3x + 10y = 3x + -3x + 5y

Combine like terms: 6x + -3x = 3x
3x + 10y = 3x + -3x + 5y

Combine like terms: 3x + -3x = 0
3x + 10y = 0 + 5y
3x + 10y = 5y

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

Combine like terms: 10y + -10y = 0
3x + 0 = 5y + -10y
3x = 5y + -10y

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

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y

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