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

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


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

Reorder the terms:
3(-3 + 2z) + -3 = 3z + -2(2z + -1)
(-3 * 3 + 2z * 3) + -3 = 3z + -2(2z + -1)
(-9 + 6z) + -3 = 3z + -2(2z + -1)

Reorder the terms:
-9 + -3 + 6z = 3z + -2(2z + -1)

Combine like terms: -9 + -3 = -12
-12 + 6z = 3z + -2(2z + -1)

Reorder the terms:
-12 + 6z = 3z + -2(-1 + 2z)
-12 + 6z = 3z + (-1 * -2 + 2z * -2)
-12 + 6z = 3z + (2 + -4z)

Reorder the terms:
-12 + 6z = 2 + 3z + -4z

Combine like terms: 3z + -4z = -1z
-12 + 6z = 2 + -1z

Solving
-12 + 6z = 2 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-12 + 6z + z = 2 + -1z + z

Combine like terms: 6z + z = 7z
-12 + 7z = 2 + -1z + z

Combine like terms: -1z + z = 0
-12 + 7z = 2 + 0
-12 + 7z = 2

Add '12' to each side of the equation.
-12 + 12 + 7z = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 7z = 2 + 12
7z = 2 + 12

Combine like terms: 2 + 12 = 14
7z = 14

Divide each side by '7'.
z = 2

Simplifying
z = 2

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