(2x+5)-(-4x+8)=z

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Solution for (2x+5)-(-4x+8)=z equation:


Simplifying
(2x + 5) + -1(-4x + 8) = z

Reorder the terms:
(5 + 2x) + -1(-4x + 8) = z

Remove parenthesis around (5 + 2x)
5 + 2x + -1(-4x + 8) = z

Reorder the terms:
5 + 2x + -1(8 + -4x) = z
5 + 2x + (8 * -1 + -4x * -1) = z
5 + 2x + (-8 + 4x) = z

Reorder the terms:
5 + -8 + 2x + 4x = z

Combine like terms: 5 + -8 = -3
-3 + 2x + 4x = z

Combine like terms: 2x + 4x = 6x
-3 + 6x = z

Solving
-3 + 6x = z

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x = 3 + z

Combine like terms: -3 + 3 = 0
0 + 6x = 3 + z
6x = 3 + z

Divide each side by '6'.
x = 0.5 + 0.1666666667z

Simplifying
x = 0.5 + 0.1666666667z

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