(15y+10x)=(7x-10)

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Solution for (15y+10x)=(7x-10) equation:


Simplifying
(15y + 10x) = (7x + -10)

Reorder the terms:
(10x + 15y) = (7x + -10)

Remove parenthesis around (10x + 15y)
10x + 15y = (7x + -10)

Reorder the terms:
10x + 15y = (-10 + 7x)

Remove parenthesis around (-10 + 7x)
10x + 15y = -10 + 7x

Solving
10x + 15y = -10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10x + -7x + 15y = -10 + 7x + -7x

Combine like terms: 10x + -7x = 3x
3x + 15y = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
3x + 15y = -10 + 0
3x + 15y = -10

Add '-15y' to each side of the equation.
3x + 15y + -15y = -10 + -15y

Combine like terms: 15y + -15y = 0
3x + 0 = -10 + -15y
3x = -10 + -15y

Divide each side by '3'.
x = -3.333333333 + -5y

Simplifying
x = -3.333333333 + -5y

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