z+0.1z+4.6=(z+1.5)

Solution for z+0.1z+4.6=(z+1.5) equation:

Simplifying
z + 0.1z + 4.6 = (z + 1.5)

Reorder the terms:
4.6 + z + 0.1z = (z + 1.5)

Combine like terms: z + 0.1z = 1.1z
4.6 + 1.1z = (z + 1.5)

Reorder the terms:
4.6 + 1.1z = (1.5 + z)

Remove parenthesis around (1.5 + z)
4.6 + 1.1z = 1.5 + z

Solving
4.6 + 1.1z = 1.5 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
4.6 + 1.1z + -1z = 1.5 + z + -1z

Combine like terms: 1.1z + -1z = 0.1z
4.6 + 0.1z = 1.5 + z + -1z

Combine like terms: z + -1z = 0
4.6 + 0.1z = 1.5 + 0
4.6 + 0.1z = 1.5

Add '-4.6' to each side of the equation.
4.6 + -4.6 + 0.1z = 1.5 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + 0.1z = 1.5 + -4.6
0.1z = 1.5 + -4.6

Combine like terms: 1.5 + -4.6 = -3.1
0.1z = -3.1

Divide each side by '0.1'.
z = -31

Simplifying
z = -31