25(z-3)+0.75=0.50(2x-5)

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Solution for 25(z-3)+0.75=0.50(2x-5) equation: 


Simplifying
25(z + -3) + 0.75 = 0.50(2x + -5)

Reorder the terms:
25(-3 + z) + 0.75 = 0.50(2x + -5)
(-3 * 25 + z * 25) + 0.75 = 0.50(2x + -5)
(-75 + 25z) + 0.75 = 0.50(2x + -5)

Reorder the terms:
-75 + 0.75 + 25z = 0.50(2x + -5)

Combine like terms: -75 + 0.75 = -74.25
-74.25 + 25z = 0.50(2x + -5)

Reorder the terms:
-74.25 + 25z = 0.50(-5 + 2x)
-74.25 + 25z = (-5 * 0.50 + 2x * 0.50)
-74.25 + 25z = (-2.5 + 1x)

Solving
-74.25 + 25z = -2.5 + 1x

Solving for variable 'z'.

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

Add '74.25' to each side of the equation.
-74.25 + 74.25 + 25z = -2.5 + 74.25 + 1x

Combine like terms: -74.25 + 74.25 = 0.00
0.00 + 25z = -2.5 + 74.25 + 1x
25z = -2.5 + 74.25 + 1x

Combine like terms: -2.5 + 74.25 = 71.75
25z = 71.75 + 1x

Divide each side by '25'.
z = 2.87 + 0.04x

Simplifying
z = 2.87 + 0.04x

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