2(3z-5*2z-3)=3z-4

Solution for 2(3z-5*2z-3)=3z-4 equation:

Simplifying
2(3z + -5 * 2z + -3) = 3z + -4

Multiply -5 * 2
2(3z + -10z + -3) = 3z + -4

Reorder the terms:
2(-3 + 3z + -10z) = 3z + -4

Combine like terms: 3z + -10z = -7z
2(-3 + -7z) = 3z + -4
(-3 * 2 + -7z * 2) = 3z + -4
(-6 + -14z) = 3z + -4

Reorder the terms:
-6 + -14z = -4 + 3z

Solving
-6 + -14z = -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.
-6 + -14z + -3z = -4 + 3z + -3z

Combine like terms: -14z + -3z = -17z
-6 + -17z = -4 + 3z + -3z

Combine like terms: 3z + -3z = 0
-6 + -17z = -4 + 0
-6 + -17z = -4

Add '6' to each side of the equation.
-6 + 6 + -17z = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -17z = -4 + 6
-17z = -4 + 6

Combine like terms: -4 + 6 = 2
-17z = 2

Divide each side by '-17'.
z = -0.1176470588

Simplifying
z = -0.1176470588