5(z-2)-(3z-1)=3z-6

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Solution for 5(z-2)-(3z-1)=3z-6 equation:


Simplifying
5(z + -2) + -1(3z + -1) = 3z + -6

Reorder the terms:
5(-2 + z) + -1(3z + -1) = 3z + -6
(-2 * 5 + z * 5) + -1(3z + -1) = 3z + -6
(-10 + 5z) + -1(3z + -1) = 3z + -6

Reorder the terms:
-10 + 5z + -1(-1 + 3z) = 3z + -6
-10 + 5z + (-1 * -1 + 3z * -1) = 3z + -6
-10 + 5z + (1 + -3z) = 3z + -6

Reorder the terms:
-10 + 1 + 5z + -3z = 3z + -6

Combine like terms: -10 + 1 = -9
-9 + 5z + -3z = 3z + -6

Combine like terms: 5z + -3z = 2z
-9 + 2z = 3z + -6

Reorder the terms:
-9 + 2z = -6 + 3z

Solving
-9 + 2z = -6 + 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.
-9 + 2z + -3z = -6 + 3z + -3z

Combine like terms: 2z + -3z = -1z
-9 + -1z = -6 + 3z + -3z

Combine like terms: 3z + -3z = 0
-9 + -1z = -6 + 0
-9 + -1z = -6

Add '9' to each side of the equation.
-9 + 9 + -1z = -6 + 9

Combine like terms: -9 + 9 = 0
0 + -1z = -6 + 9
-1z = -6 + 9

Combine like terms: -6 + 9 = 3
-1z = 3

Divide each side by '-1'.
z = -3

Simplifying
z = -3

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