5z+2=.5z+2+3z+1.5

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Solution for 5z+2=.5z+2+3z+1.5 equation: 


Simplifying
5z + 2 = 0.5z + 2 + 3z + 1.5

Reorder the terms:
2 + 5z = 0.5z + 2 + 3z + 1.5

Reorder the terms:
2 + 5z = 2 + 1.5 + 0.5z + 3z

Combine like terms: 2 + 1.5 = 3.5
2 + 5z = 3.5 + 0.5z + 3z

Combine like terms: 0.5z + 3z = 3.5z
2 + 5z = 3.5 + 3.5z

Solving
2 + 5z = 3.5 + 3.5z

Solving for variable 'z'.

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

Add '-3.5z' to each side of the equation.
2 + 5z + -3.5z = 3.5 + 3.5z + -3.5z

Combine like terms: 5z + -3.5z = 1.5z
2 + 1.5z = 3.5 + 3.5z + -3.5z

Combine like terms: 3.5z + -3.5z = 0.0
2 + 1.5z = 3.5 + 0.0
2 + 1.5z = 3.5

Add '-2' to each side of the equation.
2 + -2 + 1.5z = 3.5 + -2

Combine like terms: 2 + -2 = 0
0 + 1.5z = 3.5 + -2
1.5z = 3.5 + -2

Combine like terms: 3.5 + -2 = 1.5
1.5z = 1.5

Divide each side by '1.5'.
z = 1

Simplifying
z = 1

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