4x+5y=10-x

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Solution for 4x+5y=10-x equation:


Simplifying
4x + 5y = 10 + -1x

Solving
4x + 5y = 10 + -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.
4x + x + 5y = 10 + -1x + x

Combine like terms: 4x + x = 5x
5x + 5y = 10 + -1x + x

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

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

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

Divide each side by '5'.
x = 2 + -1y

Simplifying
x = 2 + -1y

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