684=0.14x+0.10(1800+x)

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Solution for 684=0.14x+0.10(1800+x) equation: 


Simplifying
684 = 0.14x + 0.10(1800 + x)
684 = 0.14x + (1800 * 0.10 + x * 0.10)
684 = 0.14x + (180 + 0.10x)

Reorder the terms:
684 = 180 + 0.14x + 0.10x

Combine like terms: 0.14x + 0.10x = 0.24x
684 = 180 + 0.24x

Solving
684 = 180 + 0.24x

Solving for variable 'x'.

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

Add '-0.24x' to each side of the equation.
684 + -0.24x = 180 + 0.24x + -0.24x

Combine like terms: 0.24x + -0.24x = 0.00
684 + -0.24x = 180 + 0.00
684 + -0.24x = 180

Add '-684' to each side of the equation.
684 + -684 + -0.24x = 180 + -684

Combine like terms: 684 + -684 = 0
0 + -0.24x = 180 + -684
-0.24x = 180 + -684

Combine like terms: 180 + -684 = -504
-0.24x = -504

Divide each side by '-0.24'.
x = 2100

Simplifying
x = 2100

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