-2.1(z-1.5)=0.4(z-3)

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Solution for -2.1(z-1.5)=0.4(z-3) equation: 


Simplifying
-2.1(z + -1.5) = 0.4(z + -3)

Reorder the terms:
-2.1(-1.5 + z) = 0.4(z + -3)
(-1.5 * -2.1 + z * -2.1) = 0.4(z + -3)
(3.15 + -2.1z) = 0.4(z + -3)

Reorder the terms:
3.15 + -2.1z = 0.4(-3 + z)
3.15 + -2.1z = (-3 * 0.4 + z * 0.4)
3.15 + -2.1z = (-1.2 + 0.4z)

Solving
3.15 + -2.1z = -1.2 + 0.4z

Solving for variable 'z'.

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

Add '-0.4z' to each side of the equation.
3.15 + -2.1z + -0.4z = -1.2 + 0.4z + -0.4z

Combine like terms: -2.1z + -0.4z = -2.5z
3.15 + -2.5z = -1.2 + 0.4z + -0.4z

Combine like terms: 0.4z + -0.4z = 0.0
3.15 + -2.5z = -1.2 + 0.0
3.15 + -2.5z = -1.2

Add '-3.15' to each side of the equation.
3.15 + -3.15 + -2.5z = -1.2 + -3.15

Combine like terms: 3.15 + -3.15 = 0.00
0.00 + -2.5z = -1.2 + -3.15
-2.5z = -1.2 + -3.15

Combine like terms: -1.2 + -3.15 = -4.35
-2.5z = -4.35

Divide each side by '-2.5'.
z = 1.74

Simplifying
z = 1.74

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