1.15x+0.40(200-x)=1.25x

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Solution for 1.15x+0.40(200-x)=1.25x equation: 


Simplifying
1.15x + 0.40(200 + -1x) = 1.25x
1.15x + (200 * 0.40 + -1x * 0.40) = 1.25x
1.15x + (80 + -0.4x) = 1.25x

Reorder the terms:
80 + 1.15x + -0.4x = 1.25x

Combine like terms: 1.15x + -0.4x = 0.75x
80 + 0.75x = 1.25x

Solving
80 + 0.75x = 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.
80 + 0.75x + -1.25x = 1.25x + -1.25x

Combine like terms: 0.75x + -1.25x = -0.5x
80 + -0.5x = 1.25x + -1.25x

Combine like terms: 1.25x + -1.25x = 0.00
80 + -0.5x = 0.00

Add '-80' to each side of the equation.
80 + -80 + -0.5x = 0.00 + -80

Combine like terms: 80 + -80 = 0
0 + -0.5x = 0.00 + -80
-0.5x = 0.00 + -80

Combine like terms: 0.00 + -80 = -80
-0.5x = -80

Divide each side by '-0.5'.
x = 160

Simplifying
x = 160

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