1.25(x-9)=0.8(x+9)

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Solution for 1.25(x-9)=0.8(x+9) equation: 


Simplifying
1.25(x + -9) = 0.8(x + 9)

Reorder the terms:
1.25(-9 + x) = 0.8(x + 9)
(-9 * 1.25 + x * 1.25) = 0.8(x + 9)
(-11.25 + 1.25x) = 0.8(x + 9)

Reorder the terms:
-11.25 + 1.25x = 0.8(9 + x)
-11.25 + 1.25x = (9 * 0.8 + x * 0.8)
-11.25 + 1.25x = (7.2 + 0.8x)

Solving
-11.25 + 1.25x = 7.2 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-11.25 + 1.25x + -0.8x = 7.2 + 0.8x + -0.8x

Combine like terms: 1.25x + -0.8x = 0.45x
-11.25 + 0.45x = 7.2 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-11.25 + 0.45x = 7.2 + 0.0
-11.25 + 0.45x = 7.2

Add '11.25' to each side of the equation.
-11.25 + 11.25 + 0.45x = 7.2 + 11.25

Combine like terms: -11.25 + 11.25 = 0.00
0.00 + 0.45x = 7.2 + 11.25
0.45x = 7.2 + 11.25

Combine like terms: 7.2 + 11.25 = 18.45
0.45x = 18.45

Divide each side by '0.45'.
x = 41

Simplifying
x = 41

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