5(x+y)=10x+y

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


Simplifying
5(x + y) = 10x + y
(x * 5 + y * 5) = 10x + y
(5x + 5y) = 10x + y

Solving
5x + 5y = 10x + y

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: y + -5y = -4y
-5x = -4y

Divide each side by '-5'.
x = 0.8y

Simplifying
x = 0.8y

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