2.25(x+5)=13.5(x+14)

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Solution for 2.25(x+5)=13.5(x+14) equation: 


Simplifying
2.25(x + 5) = 13.5(x + 14)

Reorder the terms:
2.25(5 + x) = 13.5(x + 14)
(5 * 2.25 + x * 2.25) = 13.5(x + 14)
(11.25 + 2.25x) = 13.5(x + 14)

Reorder the terms:
11.25 + 2.25x = 13.5(14 + x)
11.25 + 2.25x = (14 * 13.5 + x * 13.5)
11.25 + 2.25x = (189 + 13.5x)

Solving
11.25 + 2.25x = 189 + 13.5x

Solving for variable 'x'.

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

Add '-13.5x' to each side of the equation.
11.25 + 2.25x + -13.5x = 189 + 13.5x + -13.5x

Combine like terms: 2.25x + -13.5x = -11.25x
11.25 + -11.25x = 189 + 13.5x + -13.5x

Combine like terms: 13.5x + -13.5x = 0.0
11.25 + -11.25x = 189 + 0.0
11.25 + -11.25x = 189

Add '-11.25' to each side of the equation.
11.25 + -11.25 + -11.25x = 189 + -11.25

Combine like terms: 11.25 + -11.25 = 0.00
0.00 + -11.25x = 189 + -11.25
-11.25x = 189 + -11.25

Combine like terms: 189 + -11.25 = 177.75
-11.25x = 177.75

Divide each side by '-11.25'.
x = -15.8

Simplifying
x = -15.8

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