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

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


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

Reorder the terms:
6x + 2y = -10 + 5x

Solving
6x + 2y = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6x + -5x + 2y = -10 + 5x + -5x

Combine like terms: 6x + -5x = 1x
1x + 2y = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
1x + 2y = -10 + 0
1x + 2y = -10

Add '-2y' to each side of the equation.
1x + 2y + -2y = -10 + -2y

Combine like terms: 2y + -2y = 0
1x + 0 = -10 + -2y
1x = -10 + -2y

Divide each side by '1'.
x = -10 + -2y

Simplifying
x = -10 + -2y

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