5(x+2y)=10y-x+6

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Solution for 5(x+2y)=10y-x+6 equation:


Simplifying
5(x + 2y) = 10y + -1x + 6
(x * 5 + 2y * 5) = 10y + -1x + 6
(5x + 10y) = 10y + -1x + 6

Reorder the terms:
5x + 10y = 6 + -1x + 10y

Add '-10y' to each side of the equation.
5x + 10y + -10y = 6 + -1x + 10y + -10y

Combine like terms: 10y + -10y = 0
5x + 0 = 6 + -1x + 10y + -10y
5x = 6 + -1x + 10y + -10y

Combine like terms: 10y + -10y = 0
5x = 6 + -1x + 0
5x = 6 + -1x

Solving
5x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5x + x = 6 + -1x + x

Combine like terms: 5x + x = 6x
6x = 6 + -1x + x

Combine like terms: -1x + x = 0
6x = 6 + 0
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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