8.1(z+2.3)=4.9(z-4.2)

Solution for 8.1(z+2.3)=4.9(z-4.2) equation:

Simplifying
8.1(z + 2.3) = 4.9(z + -4.2)

Reorder the terms:
8.1(2.3 + z) = 4.9(z + -4.2)
(2.3 * 8.1 + z * 8.1) = 4.9(z + -4.2)
(18.63 + 8.1z) = 4.9(z + -4.2)

Reorder the terms:
18.63 + 8.1z = 4.9(-4.2 + z)
18.63 + 8.1z = (-4.2 * 4.9 + z * 4.9)
18.63 + 8.1z = (-20.58 + 4.9z)

Solving
18.63 + 8.1z = -20.58 + 4.9z

Solving for variable 'z'.

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

Add '-4.9z' to each side of the equation.
18.63 + 8.1z + -4.9z = -20.58 + 4.9z + -4.9z

Combine like terms: 8.1z + -4.9z = 3.2z
18.63 + 3.2z = -20.58 + 4.9z + -4.9z

Combine like terms: 4.9z + -4.9z = 0.0
18.63 + 3.2z = -20.58 + 0.0
18.63 + 3.2z = -20.58

Add '-18.63' to each side of the equation.
18.63 + -18.63 + 3.2z = -20.58 + -18.63

Combine like terms: 18.63 + -18.63 = 0.00
0.00 + 3.2z = -20.58 + -18.63
3.2z = -20.58 + -18.63

Combine like terms: -20.58 + -18.63 = -39.21
3.2z = -39.21

Divide each side by '3.2'.
z = -12.253125

Simplifying
z = -12.253125