x+18=.75(30+x)

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Solution for x+18=.75(30+x) equation:


Simplifying
x + 18 = 0.75(30 + x)

Reorder the terms:
18 + x = 0.75(30 + x)
18 + x = (30 * 0.75 + x * 0.75)
18 + x = (22.5 + 0.75x)

Solving
18 + x = 22.5 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
18 + x + -0.75x = 22.5 + 0.75x + -0.75x

Combine like terms: x + -0.75x = 0.25x
18 + 0.25x = 22.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
18 + 0.25x = 22.5 + 0.00
18 + 0.25x = 22.5

Add '-18' to each side of the equation.
18 + -18 + 0.25x = 22.5 + -18

Combine like terms: 18 + -18 = 0
0 + 0.25x = 22.5 + -18
0.25x = 22.5 + -18

Combine like terms: 22.5 + -18 = 4.5
0.25x = 4.5

Divide each side by '0.25'.
x = 18

Simplifying
x = 18

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