(3x+y)-0.2(3x+y)=100

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Solution for (3x+y)-0.2(3x+y)=100 equation:


Simplifying
(3x + y) + -0.2(3x + y) = 100

Remove parenthesis around (3x + y)
3x + y + -0.2(3x + y) = 100
3x + y + (3x * -0.2 + y * -0.2) = 100
3x + y + (-0.6x + -0.2y) = 100

Reorder the terms:
3x + -0.6x + y + -0.2y = 100

Combine like terms: 3x + -0.6x = 2.4x
2.4x + y + -0.2y = 100

Combine like terms: y + -0.2y = 0.8y
2.4x + 0.8y = 100

Solving
2.4x + 0.8y = 100

Solving for variable 'x'.

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

Add '-0.8y' to each side of the equation.
2.4x + 0.8y + -0.8y = 100 + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
2.4x + 0.0 = 100 + -0.8y
2.4x = 100 + -0.8y

Divide each side by '2.4'.
x = 41.66666667 + -0.3333333333y

Simplifying
x = 41.66666667 + -0.3333333333y

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