2.3(z+4)=0.2(z-1.5)

Solution for 2.3(z+4)=0.2(z-1.5) equation:

Simplifying
2.3(z + 4) = 0.2(z + -1.5)

Reorder the terms:
2.3(4 + z) = 0.2(z + -1.5)
(4 * 2.3 + z * 2.3) = 0.2(z + -1.5)
(9.2 + 2.3z) = 0.2(z + -1.5)

Reorder the terms:
9.2 + 2.3z = 0.2(-1.5 + z)
9.2 + 2.3z = (-1.5 * 0.2 + z * 0.2)
9.2 + 2.3z = (-0.3 + 0.2z)

Solving
9.2 + 2.3z = -0.3 + 0.2z

Solving for variable 'z'.

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

Add '-0.2z' to each side of the equation.
9.2 + 2.3z + -0.2z = -0.3 + 0.2z + -0.2z

Combine like terms: 2.3z + -0.2z = 2.1z
9.2 + 2.1z = -0.3 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
9.2 + 2.1z = -0.3 + 0.0
9.2 + 2.1z = -0.3

Add '-9.2' to each side of the equation.
9.2 + -9.2 + 2.1z = -0.3 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + 2.1z = -0.3 + -9.2
2.1z = -0.3 + -9.2

Combine like terms: -0.3 + -9.2 = -9.5
2.1z = -9.5

Divide each side by '2.1'.
z = -4.523809524

Simplifying
z = -4.523809524