0.6(z+5)-0.5(z+2)=0.1(z-23)

Solution for 0.6(z+5)-0.5(z+2)=0.1(z-23) equation:

Simplifying
0.6(z + 5) + -0.5(z + 2) = 0.1(z + -23)

Reorder the terms:
0.6(5 + z) + -0.5(z + 2) = 0.1(z + -23)
(5 * 0.6 + z * 0.6) + -0.5(z + 2) = 0.1(z + -23)
(3 + 0.6z) + -0.5(z + 2) = 0.1(z + -23)

Reorder the terms:
3 + 0.6z + -0.5(2 + z) = 0.1(z + -23)
3 + 0.6z + (2 * -0.5 + z * -0.5) = 0.1(z + -23)
3 + 0.6z + (-1 + -0.5z) = 0.1(z + -23)

Reorder the terms:
3 + -1 + 0.6z + -0.5z = 0.1(z + -23)

Combine like terms: 3 + -1 = 2
2 + 0.6z + -0.5z = 0.1(z + -23)

Combine like terms: 0.6z + -0.5z = 0.1z
2 + 0.1z = 0.1(z + -23)

Reorder the terms:
2 + 0.1z = 0.1(-23 + z)
2 + 0.1z = (-23 * 0.1 + z * 0.1)
2 + 0.1z = (-2.3 + 0.1z)

Add '-0.1z' to each side of the equation.
2 + 0.1z + -0.1z = -2.3 + 0.1z + -0.1z

Combine like terms: 0.1z + -0.1z = 0.0
2 + 0.0 = -2.3 + 0.1z + -0.1z
2 = -2.3 + 0.1z + -0.1z

Combine like terms: 0.1z + -0.1z = 0.0
2 = -2.3 + 0.0
2 = -2.3

Solving
2 = -2.3

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.