x+(397.96-0.306x)+(583.3-0.486x)=1000

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Solution for x+(397.96-0.306x)+(583.3-0.486x)=1000 equation: 


Simplifying
x + (397.96 + -0.306x) + (583.3 + -0.486x) = 1000

Remove parenthesis around (397.96 + -0.306x)
x + 397.96 + -0.306x + (583.3 + -0.486x) = 1000

Remove parenthesis around (583.3 + -0.486x)
x + 397.96 + -0.306x + 583.3 + -0.486x = 1000

Reorder the terms:
397.96 + 583.3 + x + -0.306x + -0.486x = 1000

Combine like terms: 397.96 + 583.3 = 981.26
981.26 + x + -0.306x + -0.486x = 1000

Combine like terms: x + -0.306x = 0.694x
981.26 + 0.694x + -0.486x = 1000

Combine like terms: 0.694x + -0.486x = 0.208x
981.26 + 0.208x = 1000

Solving
981.26 + 0.208x = 1000

Solving for variable 'x'.

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

Add '-981.26' to each side of the equation.
981.26 + -981.26 + 0.208x = 1000 + -981.26

Combine like terms: 981.26 + -981.26 = 0.00
0.00 + 0.208x = 1000 + -981.26
0.208x = 1000 + -981.26

Combine like terms: 1000 + -981.26 = 18.74
0.208x = 18.74

Divide each side by '0.208'.
x = 90.09615385

Simplifying
x = 90.09615385

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