30=(x+.5)*1.25

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Solution for 30=(x+.5)*1.25 equation:


Simplifying
30 = (x + 0.5) * 1.25

Reorder the terms:
30 = (0.5 + x) * 1.25

Reorder the terms for easier multiplication:
30 = 1.25(0.5 + x)
30 = (0.5 * 1.25 + x * 1.25)
30 = (0.625 + 1.25x)

Solving
30 = 0.625 + 1.25x

Solving for variable 'x'.

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

Add '-1.25x' to each side of the equation.
30 + -1.25x = 0.625 + 1.25x + -1.25x

Combine like terms: 1.25x + -1.25x = 0.00
30 + -1.25x = 0.625 + 0.00
30 + -1.25x = 0.625

Add '-30' to each side of the equation.
30 + -30 + -1.25x = 0.625 + -30

Combine like terms: 30 + -30 = 0
0 + -1.25x = 0.625 + -30
-1.25x = 0.625 + -30

Combine like terms: 0.625 + -30 = -29.375
-1.25x = -29.375

Divide each side by '-1.25'.
x = 23.5

Simplifying
x = 23.5

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