0.9z+3.8=0.5z+5

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Solution for 0.9z+3.8=0.5z+5 equation:


Simplifying
0.9z + 3.8 = 0.5z + 5

Reorder the terms:
3.8 + 0.9z = 0.5z + 5

Reorder the terms:
3.8 + 0.9z = 5 + 0.5z

Solving
3.8 + 0.9z = 5 + 0.5z

Solving for variable 'z'.

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

Add '-0.5z' to each side of the equation.
3.8 + 0.9z + -0.5z = 5 + 0.5z + -0.5z

Combine like terms: 0.9z + -0.5z = 0.4z
3.8 + 0.4z = 5 + 0.5z + -0.5z

Combine like terms: 0.5z + -0.5z = 0.0
3.8 + 0.4z = 5 + 0.0
3.8 + 0.4z = 5

Add '-3.8' to each side of the equation.
3.8 + -3.8 + 0.4z = 5 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + 0.4z = 5 + -3.8
0.4z = 5 + -3.8

Combine like terms: 5 + -3.8 = 1.2
0.4z = 1.2

Divide each side by '0.4'.
z = 3

Simplifying
z = 3

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