4.9z+4.6=3.2z-22

Solution for 4.9z+4.6=3.2z-22 equation:

Simplifying
4.9z + 4.6 = 3.2z + -22

Reorder the terms:
4.6 + 4.9z = 3.2z + -22

Reorder the terms:
4.6 + 4.9z = -22 + 3.2z

Solving
4.6 + 4.9z = -22 + 3.2z

Solving for variable 'z'.

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

Add '-3.2z' to each side of the equation.
4.6 + 4.9z + -3.2z = -22 + 3.2z + -3.2z

Combine like terms: 4.9z + -3.2z = 1.7z
4.6 + 1.7z = -22 + 3.2z + -3.2z

Combine like terms: 3.2z + -3.2z = 0.0
4.6 + 1.7z = -22 + 0.0
4.6 + 1.7z = -22

Add '-4.6' to each side of the equation.
4.6 + -4.6 + 1.7z = -22 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + 1.7z = -22 + -4.6
1.7z = -22 + -4.6

Combine like terms: -22 + -4.6 = -26.6
1.7z = -26.6

Divide each side by '1.7'.
z = -15.64705882

Simplifying
z = -15.64705882