2.3(z-18)=-2.7(z+1.5)

Solution for 2.3(z-18)=-2.7(z+1.5) equation:

Simplifying
2.3(z + -18) = -2.7(z + 1.5)

Reorder the terms:
2.3(-18 + z) = -2.7(z + 1.5)
(-18 * 2.3 + z * 2.3) = -2.7(z + 1.5)
(-41.4 + 2.3z) = -2.7(z + 1.5)

Reorder the terms:
-41.4 + 2.3z = -2.7(1.5 + z)
-41.4 + 2.3z = (1.5 * -2.7 + z * -2.7)
-41.4 + 2.3z = (-4.05 + -2.7z)

Solving
-41.4 + 2.3z = -4.05 + -2.7z

Solving for variable 'z'.

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

Add '2.7z' to each side of the equation.
-41.4 + 2.3z + 2.7z = -4.05 + -2.7z + 2.7z

Combine like terms: 2.3z + 2.7z = 5z
-41.4 + 5z = -4.05 + -2.7z + 2.7z

Combine like terms: -2.7z + 2.7z = 0.0
-41.4 + 5z = -4.05 + 0.0
-41.4 + 5z = -4.05

Add '41.4' to each side of the equation.
-41.4 + 41.4 + 5z = -4.05 + 41.4

Combine like terms: -41.4 + 41.4 = 0.0
0.0 + 5z = -4.05 + 41.4
5z = -4.05 + 41.4

Combine like terms: -4.05 + 41.4 = 37.35
5z = 37.35

Divide each side by '5'.
z = 7.47

Simplifying
z = 7.47