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

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

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

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

Reorder the terms:
6 + 15z = 4(5 + 2z)
6 + 15z = (5 * 4 + 2z * 4)
6 + 15z = (20 + 8z)

Solving
6 + 15z = 20 + 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 = 20 + 8z + -8z

Combine like terms: 15z + -8z = 7z
6 + 7z = 20 + 8z + -8z

Combine like terms: 8z + -8z = 0
6 + 7z = 20 + 0
6 + 7z = 20

Add '-6' to each side of the equation.
6 + -6 + 7z = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 7z = 20 + -6
7z = 20 + -6

Combine like terms: 20 + -6 = 14
7z = 14

Divide each side by '7'.
z = 2

Simplifying
z = 2