(x+y+5z)-(2x-7y+z)=

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Solution for (x+y+5z)-(2x-7y+z)= equation:


Simplifying
(x + y + 5z) + -1(2x + -7y + z) = 0

Remove parenthesis around (x + y + 5z)
x + y + 5z + -1(2x + -7y + z) = 0
x + y + 5z + (2x * -1 + -7y * -1 + z * -1) = 0
x + y + 5z + (-2x + 7y + -1z) = 0

Reorder the terms:
x + -2x + y + 7y + 5z + -1z = 0

Combine like terms: x + -2x = -1x
-1x + y + 7y + 5z + -1z = 0

Combine like terms: y + 7y = 8y
-1x + 8y + 5z + -1z = 0

Combine like terms: 5z + -1z = 4z
-1x + 8y + 4z = 0

Solving
-1x + 8y + 4z = 0

Solving for variable 'x'.

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

Add '-8y' to each side of the equation.
-1x + 8y + -8y + 4z = 0 + -8y

Combine like terms: 8y + -8y = 0
-1x + 0 + 4z = 0 + -8y
-1x + 4z = 0 + -8y
Remove the zero:
-1x + 4z = -8y

Add '-4z' to each side of the equation.
-1x + 4z + -4z = -8y + -4z

Combine like terms: 4z + -4z = 0
-1x + 0 = -8y + -4z
-1x = -8y + -4z

Divide each side by '-1'.
x = 8y + 4z

Simplifying
x = 8y + 4z

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