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

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


Simplifying
5(2x + y) + -1(3x + -1y) = z
(2x * 5 + y * 5) + -1(3x + -1y) = z
(10x + 5y) + -1(3x + -1y) = z
10x + 5y + (3x * -1 + -1y * -1) = z
10x + 5y + (-3x + 1y) = z

Reorder the terms:
10x + -3x + 5y + 1y = z

Combine like terms: 10x + -3x = 7x
7x + 5y + 1y = z

Combine like terms: 5y + 1y = 6y
7x + 6y = z

Solving
7x + 6y = z

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
7x + 6y + -6y = -6y + z

Combine like terms: 6y + -6y = 0
7x + 0 = -6y + z
7x = -6y + z

Divide each side by '7'.
x = -0.8571428571y + 0.1428571429z

Simplifying
x = -0.8571428571y + 0.1428571429z

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