2.5z+12=1.25z+24

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Solution for 2.5z+12=1.25z+24 equation:


Simplifying
2.5z + 12 = 1.25z + 24

Reorder the terms:
12 + 2.5z = 1.25z + 24

Reorder the terms:
12 + 2.5z = 24 + 1.25z

Solving
12 + 2.5z = 24 + 1.25z

Solving for variable 'z'.

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

Add '-1.25z' to each side of the equation.
12 + 2.5z + -1.25z = 24 + 1.25z + -1.25z

Combine like terms: 2.5z + -1.25z = 1.25z
12 + 1.25z = 24 + 1.25z + -1.25z

Combine like terms: 1.25z + -1.25z = 0.00
12 + 1.25z = 24 + 0.00
12 + 1.25z = 24

Add '-12' to each side of the equation.
12 + -12 + 1.25z = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 1.25z = 24 + -12
1.25z = 24 + -12

Combine like terms: 24 + -12 = 12
1.25z = 12

Divide each side by '1.25'.
z = 9.6

Simplifying
z = 9.6

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