3(5z+2)=4(2z+1)

Solution for 3(5z+2)=4(2z+1) equation:

Simplifying
3(5z + 2) = 4(2z + 1)

Reorder the terms:
3(2 + 5z) = 4(2z + 1)
(2 * 3 + 5z * 3) = 4(2z + 1)
(6 + 15z) = 4(2z + 1)

Reorder the terms:
6 + 15z = 4(1 + 2z)
6 + 15z = (1 * 4 + 2z * 4)
6 + 15z = (4 + 8z)

Solving
6 + 15z = 4 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
6 + 15z + -8z = 4 + 8z + -8z

Combine like terms: 15z + -8z = 7z
6 + 7z = 4 + 8z + -8z

Combine like terms: 8z + -8z = 0
6 + 7z = 4 + 0
6 + 7z = 4

Add '-6' to each side of the equation.
6 + -6 + 7z = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 7z = 4 + -6
7z = 4 + -6

Combine like terms: 4 + -6 = -2
7z = -2

Divide each side by '7'.
z = -0.2857142857

Simplifying
z = -0.2857142857