20x+30(8300-x)=214000

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Solution for 20x+30(8300-x)=214000 equation:


Simplifying
20x + 30(8300 + -1x) = 214000
20x + (8300 * 30 + -1x * 30) = 214000
20x + (249000 + -30x) = 214000

Reorder the terms:
249000 + 20x + -30x = 214000

Combine like terms: 20x + -30x = -10x
249000 + -10x = 214000

Solving
249000 + -10x = 214000

Solving for variable 'x'.

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

Add '-249000' to each side of the equation.
249000 + -249000 + -10x = 214000 + -249000

Combine like terms: 249000 + -249000 = 0
0 + -10x = 214000 + -249000
-10x = 214000 + -249000

Combine like terms: 214000 + -249000 = -35000
-10x = -35000

Divide each side by '-10'.
x = 3500

Simplifying
x = 3500

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