4z+3=2(z+5)

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

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

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

Reorder the terms:
3 + 4z = 2(5 + z)
3 + 4z = (5 * 2 + z * 2)
3 + 4z = (10 + 2z)

Solving
3 + 4z = 10 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
3 + 4z + -2z = 10 + 2z + -2z

Combine like terms: 4z + -2z = 2z
3 + 2z = 10 + 2z + -2z

Combine like terms: 2z + -2z = 0
3 + 2z = 10 + 0
3 + 2z = 10

Add '-3' to each side of the equation.
3 + -3 + 2z = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 2z = 10 + -3
2z = 10 + -3

Combine like terms: 10 + -3 = 7
2z = 7

Divide each side by '2'.
z = 3.5

Simplifying
z = 3.5