(4x-z)=(6x+5)

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Solution for (4x-z)=(6x+5) equation:


Simplifying
(4x + -1z) = (6x + 5)

Remove parenthesis around (4x + -1z)
4x + -1z = (6x + 5)

Reorder the terms:
4x + -1z = (5 + 6x)

Remove parenthesis around (5 + 6x)
4x + -1z = 5 + 6x

Solving
4x + -1z = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4x + -6x + -1z = 5 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-2x + -1z = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2x + -1z = 5 + 0
-2x + -1z = 5

Add 'z' to each side of the equation.
-2x + -1z + z = 5 + z

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

Divide each side by '-2'.
x = -2.5 + -0.5z

Simplifying
x = -2.5 + -0.5z

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