3(1-z)+5=3(1+z)-7

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Solution for 3(1-z)+5=3(1+z)-7 equation: 


Simplifying
3(1 + -1z) + 5 = 3(1 + z) + -7
(1 * 3 + -1z * 3) + 5 = 3(1 + z) + -7
(3 + -3z) + 5 = 3(1 + z) + -7

Reorder the terms:
3 + 5 + -3z = 3(1 + z) + -7

Combine like terms: 3 + 5 = 8
8 + -3z = 3(1 + z) + -7
8 + -3z = (1 * 3 + z * 3) + -7
8 + -3z = (3 + 3z) + -7

Reorder the terms:
8 + -3z = 3 + -7 + 3z

Combine like terms: 3 + -7 = -4
8 + -3z = -4 + 3z

Solving
8 + -3z = -4 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
8 + -3z + -3z = -4 + 3z + -3z

Combine like terms: -3z + -3z = -6z
8 + -6z = -4 + 3z + -3z

Combine like terms: 3z + -3z = 0
8 + -6z = -4 + 0
8 + -6z = -4

Add '-8' to each side of the equation.
8 + -8 + -6z = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -6z = -4 + -8
-6z = -4 + -8

Combine like terms: -4 + -8 = -12
-6z = -12

Divide each side by '-6'.
z = 2

Simplifying
z = 2

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